The Law of Cosines
Topic Page
The Law of Cosines
Questions
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Does the law of cosines work for any triangle?
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How do you derive the law of cosines?
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How is the law of cosines related to the pythagorean theorem?
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How do you find the angle in the law of cosines?
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How do you use the law of cosines to find the area of a triangle?
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What is the law of cosines?
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When can the law of cosines be used?
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How do you find angles A, B, and C if in triangle ABC, #a=12#, #b=15#, and #c=20#?
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How do you find the measure of the smallest in an acute triangle whose side lengths are 4m, 7m, and 8m?
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Bong walks 100 m due North and then 150 m in a direction N 37 deg. E. How far is Bong from his original position?
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Two sides of a parallelogram measure 15cm and 20 cm, and one of the diagonals measures 19cm. What are the measures of the angles of a parallelogram to the nearest degree."?
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If a = 4, b = 5, and c = 6, how do you solve the triangle?
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What is the basic difference between the Law of Sines and Law of Cosines?
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How do you solve the triangle if we are given a = 9, b = 12, c = 15?
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How do you solve a triangle if you are given A = 120 degrees, b = 3, c = 10?
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How do you solve a triangle if you are given C = 15 degrees, a = 6.25, b = 2.15?
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How do you solve a triangle if you are given a = 11, b = 14, c = 20?
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How do you solve a triangle if you are given A= 135 degrees, b = 4, c = 9?
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How do you solve a triangle if you are given a=2.5, b=10.2, c=9?
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What is the formula to find an angle when you have 3 sides of a triangle a=13 m, b=8.5 m, and c=9 m?
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How do you solve a triangle if you are given a=162 b=185 and c=323?
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How do you find a,b,c with the angles A=30,B=70,C=80?
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If a = 4, b = 5, and c = 6, how do you solve the triangle?
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A triangle ABC, in which we know the value of 2 sides, but the third side is unknown ( Side A ). If we need an angle to find the unknown side, which angle is it?
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How do you find the angle C formed by the sides of length 2, 3, and 7?
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How do you find the sides of a triangle if you are given 27 degrees, 42 degrees, and 111 degrees?
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How do you find the longest side of a triangle if its triangle ABC and <A is 70 degrees <B is 62 degrees and <C is 48 decgrees?
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Given a scalene triangle with angles of A=38, B=83 and C=59, side opposite to angle C is measuring 20, how do you find lengths of other sides?
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How do you find the length of the missing side given a = 16, b = 63 2. b = 2.1, c = 2.9?
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How do you solve the triangle given a = 4, b = 5, and c = 6?
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How do you solve the triangle using law of sines given a=8, b=9, c=10?
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How do you use the law of cosines if you are given x = 12.37, y=10, z=15?
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How do you use the law of cosines if you are given three sides 9, 6, 14?
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How do you use the law of cosines if you are given three angles A=30,B=70,C=80?
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How do you solve the triangles given a = 4, b = 3 and c = 6?
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How do you solve the triangle given a = 5, b = 8, c = 12?
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How do you solve the triangle given A=30*, a=3, b=8?
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How do you solve the triangle given A=38*, b=10, a=8?
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How do you solve the triangle given a=13, b=16, c=18?
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A point on an island is located 24miles southwest of a dock. A ship leaves the dock at 1:00pm traveling west at 12 miles per hour. At what time(s) to the nearest minute is the ship 20miles from the point?
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A triangle with the hypotenuse measuring 8, and the short leg measuring 5, and the the long leg measuring 7. How do you find the angles C the top angle, B the lower right angle, A the left angle?
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How do you solve the triangle if b = 12, c=8, a=15?
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How do you solve the triangle if C=36 degrees, B=24, and a=9 cm?
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How do you solve the triangle if A= 50 degrees, B=65, a=10?
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How do you solve the triangle if C=60 degrees, A= 12, c=15?
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How do you solve for Angles A, B, C if a=20 b=30 c=25?
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How do you solve the triangle given a=39, b=52, <C=122 degrees?
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How do you solve a triangle given a = 8, c = 12, and B = 72?
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How do you solve a triangle given <A=84.2°, <B=20.7°, B=17.2?
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How do you solve a triangle given a=6.3. b=9.4, <C=38.3° ?
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How do you solve a triangle given B=150 degrees, a=10, c=20?
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How do you solve the triangle given r = 15, t = 8, angle S = 125º?
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How do you find the height of a tree if the angle of elevation of its top changes from 20 degrees to 40 degrees as the observer advances 23 meters towards the base?
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How do you solve the triangle when given a=11, b=7, c=9?
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How do you solve the triangle when given b = 15, c=8, a=15?
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How do you solve the triangle when given 3, 4, and 6?
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How do you solve the triangle when given a=5, b=7, and c=6?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #8#, respectively, and the angle between A and B is #pi/12#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #8# and #1#, respectively, and the angle between A and B is #pi/12#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #3# and #1#, respectively, and the angle between A and B is #pi/12#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #3# and #4#, respectively, and the angle between A and B is #pi/12#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #1# and #4#, respectively, and the angle between A and B is #pi/12#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #1# and #4#, respectively, and the angle between A and B is #pi/6#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #4#, respectively, and the angle between A and B is #pi/6#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #3#, respectively, and the angle between A and B is #pi/6#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #9# and #3#, respectively, and the angle between A and B is #pi/6#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #9# and #2#, respectively, and the angle between A and B is #pi/6#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #2#, respectively, and the angle between A and B is #pi/6#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #5#, respectively, and the angle between A and B is #pi/6#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #5#, respectively, and the angle between A and B is #pi/6#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #5#, respectively, and the angle between A and B is #pi/12#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #12# and #5#, respectively, and the angle between A and B is #pi/12#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #12# and #3#, respectively, and the angle between A and B is #pi/12#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #3#, respectively, and the angle between A and B is #pi/12#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #3#, respectively, and the angle between A and B is #pi/12#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #6# and #9#, respectively, and the angle between A and B is #pi/6#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #3# and #9#, respectively, and the angle between A and B is #pi/6#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #3# and #1#, respectively, and the angle between A and B is #pi/6#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #3# and #14#, respectively, and the angle between A and B is #pi/6#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #3# and #7#, respectively, and the angle between A and B is #pi/6#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #6# and #5#, respectively, and the angle between A and B is #pi/6#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #8# and #5#, respectively, and the angle between A and B is #pi/6#. What is the length of side C?
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A triangle labeled the usual way has sides #a=8, b=4# and angle #C=pi/6.# Find #c# ?
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A triangle has sides A, B, and C. Sides A and B are of lengths #11# and #4#, respectively, and the angle between A and B is #pi/6#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #4#, respectively, and the angle between A and B is #pi/6#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #8#, respectively, and the angle between A and B is #pi/6#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #1# and #2#, respectively, and the angle between A and B is #pi/4#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #3# and #2#, respectively, and the angle between A and B is #pi/4#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #3# and #4#, respectively, and the angle between A and B is #pi/4#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #4#, respectively, and the angle between A and B is #pi/4#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #5#, respectively, and the angle between A and B is #pi/4#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #4# and #5#, respectively, and the angle between A and B is #pi/4#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #5#, respectively, and the angle between A and B is #pi/4#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #6# and #3#, respectively, and the angle between A and B is #pi/4#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #6# and #8#, respectively, and the angle between A and B is #pi/4#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #9# and #8#, respectively, and the angle between A and B is #pi/4#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #9# and #8#, respectively, and the angle between A and B is #pi/3#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #8#, respectively, and the angle between A and B is #pi/3#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #1#, respectively, and the angle between A and B is #pi/3#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #8# and #1#, respectively, and the angle between A and B is #pi/3#. What is the length of side C?
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A typical triangle has sides #a=5# and #b=1# and angle #C= pi/3#. Find #c# ?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #3#, respectively, and the angle between A and B is #pi/3#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #8#, respectively, and the angle between A and B is #pi/3#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #4# and #8#, respectively, and the angle between A and B is #pi/3#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #4# and #12#, respectively, and the angle between A and B is #pi/3#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #9# and #12#, respectively, and the angle between A and B is #pi/3#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #9# and #2#, respectively, and the angle between A and B is #pi/3#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #2#, respectively, and the angle between A and B is #pi/3#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #4#, respectively, and the angle between A and B is #pi/3#. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #1#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #1#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #3# and #1#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #3# and #2#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #4# and #2#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #4# and #9#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #8# and #9#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #8# and #7#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #7#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #3#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #2#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #6#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #4# and #6#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #4# and #3#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #14# and #3#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #14# and #9#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #9# and #9#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #9# and #5#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #5#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #12# and #5#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #7#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #3#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #3#, respectively, and the angle between A and B is #(pi)/2 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #1#, respectively, and the angle between A and B is #(pi)/2 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #1# and #1#, respectively, and the angle between A and B is #(pi)/2 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #1# and #4#, respectively, and the angle between A and B is #(pi)/2 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #3# and #4#, respectively, and the angle between A and B is #(pi)/2 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #4#, respectively, and the angle between A and B is #(pi)/2 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #15# and #7#, respectively, and the angle between A and B is #(pi)/2 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #9#, respectively, and the angle between A and B is #(pi)/2 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #6# and #9#, respectively, and the angle between A and B is #(pi)/2 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #6# and #4#, respectively, and the angle between A and B is #(pi)/2 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #1#, respectively, and the angle between A and B is #(pi)/2 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #8#, respectively, and the angle between A and B is #(pi)/2 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #4# and #7#, respectively, and the angle between A and B is #(pi)/2 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #9# and #7#, respectively, and the angle between A and B is #(pi)/2 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #9# and #17#, respectively, and the angle between A and B is #(pi)/2 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #6# and #5#, respectively, and the angle between A and B is #(pi)/2 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #6# and #5#, respectively, and the angle between A and B is #(7pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #6# and #1#, respectively, and the angle between A and B is #(7pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #3# and #1#, respectively, and the angle between A and B is #(7pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #12#, respectively, and the angle between A and B is #(7pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #4#, respectively, and the angle between A and B is #(7pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #6# and #4#, respectively, and the angle between A and B is #(7pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #4#, respectively, and the angle between A and B is #(7pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #2#, respectively, and the angle between A and B is #(7pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #2#, respectively, and the angle between A and B is #(7pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #4#, respectively, and the angle between A and B is #(7pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #5#, respectively, and the angle between A and B is #(7pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #8#, respectively, and the angle between A and B is #(7pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #12#, respectively, and the angle between A and B is #(7pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #10# and #12#, respectively, and the angle between A and B is #(7pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #10# and #12#, respectively, and the angle between A and B is #(2pi)/3 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #1# and #1#, respectively, and the angle between A and B is #(2pi)/3 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #4# and #1#, respectively, and the angle between A and B is #(2pi)/3 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #4# and #7#, respectively, and the angle between A and B is #(2pi)/3 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #8# and #2#, respectively, and the angle between A and B is #(2pi)/3 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #1# and #2#, respectively, and the angle between A and B is #(2pi)/3 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #1# and #7#, respectively, and the angle between A and B is #(2pi)/3 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #6# and #2#, respectively, and the angle between A and B is #(2pi)/3 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #4# and #2#, respectively, and the angle between A and B is #(2pi)/3 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #4# and #2#, respectively, and the angle between A and B is #(3pi)/4 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #4# and #7#, respectively, and the angle between A and B is #(3pi)/4 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #7#, respectively, and the angle between A and B is #(3pi)/4 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #3#, respectively, and the angle between A and B is #(3pi)/4 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #3#, respectively, and the angle between A and B is #(3pi)/4 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #9#, respectively, and the angle between A and B is #(3pi)/4 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #1# and #3#, respectively, and the angle between A and B is #(5pi)/6 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #4# and #2#, respectively, and the angle between A and B is #(5pi)/6 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #4# and #3#, respectively, and the angle between A and B is #(5pi)/6 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #1# and #7#, respectively, and the angle between A and B is #(5pi)/6 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #1# and #6#, respectively, and the angle between A and B is #(5pi)/6 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #8# and #6#, respectively, and the angle between A and B is #(5pi)/6 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #8# and #6#, respectively, and the angle between A and B is #(11pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #8# and #4#, respectively, and the angle between A and B is #(11pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #4#, respectively, and the angle between A and B is #(11pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #4#, respectively, and the angle between A and B is #(11pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #4#, respectively, and the angle between A and B is #(11pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #1#, respectively, and the angle between A and B is #(11pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #8#, respectively, and the angle between A and B is #(11pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #9# and #8#, respectively, and the angle between A and B is #(11pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #12# and #8#, respectively, and the angle between A and B is #(11pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #12# and #11#, respectively, and the angle between A and B is #(11pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #11#, respectively, and the angle between A and B is #(11pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #2#, respectively, and the angle between A and B is #(11pi)/12 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #2#, respectively, and the angle between A and B is #(pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #3#, respectively, and the angle between A and B is #(pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #3#, respectively, and the angle between A and B is #(pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #1# and #3#, respectively, and the angle between A and B is #(pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #1# and #2#, respectively, and the angle between A and B is #(pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #4# and #2#, respectively, and the angle between A and B is #(pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #4# and #5#, respectively, and the angle between A and B is #(pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #5#, respectively, and the angle between A and B is #(pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #6#, respectively, and the angle between A and B is #(pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #8# and #6#, respectively, and the angle between A and B is #(pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #8# and #3#, respectively, and the angle between A and B is #(pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #8# and #9#, respectively, and the angle between A and B is #(pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #9#, respectively, and the angle between A and B is #(pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #9#, respectively, and the angle between A and B is #(3pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #2#, respectively, and the angle between A and B is #(3pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #2#, respectively, and the angle between A and B is #(3pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #7#, respectively, and the angle between A and B is #(3pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #1# and #7#, respectively, and the angle between A and B is #(3pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #4# and #7#, respectively, and the angle between A and B is #(3pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #4# and #2#, respectively, and the angle between A and B is #(3pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #8# and #1#, respectively, and the angle between A and B is #(5pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #8# and #7#, respectively, and the angle between A and B is #(5pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #4# and #7#, respectively, and the angle between A and B is #(5pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #4# and #9#, respectively, and the angle between A and B is #(5pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #14# and #9#, respectively, and the angle between A and B is #(5pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #14# and #12#, respectively, and the angle between A and B is #(5pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #10# and #12#, respectively, and the angle between A and B is #(5pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #11# and #12#, respectively, and the angle between A and B is #(5pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #12#, respectively, and the angle between A and B is #(5pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #6#, respectively, and the angle between A and B is #(5pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #2#, respectively, and the angle between A and B is #(5pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #7# and #5#, respectively, and the angle between A and B is #(5pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #5#, respectively, and the angle between A and B is #(5pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #1# and #5#, respectively, and the angle between A and B is #(5pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #1# and #8#, respectively, and the angle between A and B is #(5pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #6# and #8#, respectively, and the angle between A and B is #(5pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #6# and #8#, respectively, and the angle between A and B is #(7pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #6# and #1#, respectively, and the angle between A and B is #(7pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #6# and #1#, respectively, and the angle between A and B is #(7pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #1#, respectively, and the angle between A and B is #(7pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #4#, respectively, and the angle between A and B is #(7pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #7#, respectively, and the angle between A and B is #(7pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #9# and #7#, respectively, and the angle between A and B is #(7pi)/8 #. What is the length of side C?
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A triangle has sides A, B, and C. Sides A and B are of lengths #9# and #17#, respectively, and the angle between A and B is #(7pi)/8 #. What is the length of side C?
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Question #6fc66
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How do you solve the triangle ABC given a = 5, b = 8, c = 12?
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How do you solve the triangle ABC given a=55, b=25, c=72?
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In triangle ABC, <A=84.2°, <B=20.7°, B=17.2 how do you find side C?
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In triangle ABC, a=6.3. B=9.4, <C=38.3° how do you find side C ?
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In triangle ABC, a=12.2, B=14.0, <A=43° how do you find <B?
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A parallelogram has a side length of 3 and the other side is 5. One angle equals 50 degrees. What are the lengths of the diagonals?
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The lengths of the sides of a triangle are 7, 8 and 9 cm. How do you calculate the size of the smallest angle in the triangle?
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Given a triangle with sides measuring 15in, 10in, and 12in; with angle C across from 10in, angle A across from 12in, and angle T across from 15in. How do you find the angle measures?
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How do you find the angles of a triangle whose side lengths are 50, 70, and 100?
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How do you find the missing sides of a triangle given two angles and a side given Sides are x, y, and 10, two of the angles are 40 and 90?
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How do you find the missing sides of a triangle given sides are x and 6 root 3, angles are 60 and 90?
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How do you find the angles of a triangle given side a = 10, side b = 10, base = 15?
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The ratio of the angle measures in a triangle is 3:7:8. How do you find the angle measures and then classify the triangle by its angle measures?
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How do you find the angles of a triangle given sides 9, 6, and 14?
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How do you find remaining sides and angles of triangle given side a =4, side b = 1, angle y = 100?
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How do you find an angle in an isosceles triangle with sides length 4.4cm and area 4cm^2?
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The measures of the sides of a triangle are 10, 7, and 9. How do you find the measure of the largest angle?
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Given a triangle with side lengths are 3, 13, and 21 how do you find the angle measures?
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How do you use vectors to find the interior angles (in radians) of a triangle with the vertices (1,2) (3,4) and (2,5)?
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The sides of an isosceles triangle are 5, 5, and 7. How do you find the measure of the vertex angle to the nearest degree?
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How do you find the angles of a triangle given sides #a=8, b=10, c=12#?
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How do you find the three angles of the triangle with the given vertices: A(1,0) B(4,6) C(-3,5)?
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Given a triangle with A=130 degrees, a=10cm, b=10cm, How do you find side c and the two other angles, big B and C?
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How do you find the hypothesis of an obtuse and acute triangle given Base = 2
Vertical Side = 4, Angle = 75, which is opposite of the hypothesis, and Hypothesis = x?
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The lengths of side b is 15cm, c is 24cm and a is 18cm. How do you calculate the angle B (which is opposite side b)?
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Question #827f6
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How do you use the law of cosines to find AB given a triangle ABC with Angle C=41, AC=13 and CB=29?
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How do you use the law of cosines to find BC given a triangle ABC with Angle A=123, BA=30 and CA=21?
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How do you use the law of cosines to find BC given a triangle ABC with Angle A=93, AC=17 and AB=28?
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How do you solve the triangle ABC given A=60, b=8, c=12?
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How do you solve the triangle ABC given A=30, b=4, c=6?
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How do you solve the triangle ABC given a=7, B=60, c=9?
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How do you solve the triangle ABC given a=7, b=3, c=9?
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How do you solve the triangle ABC given a=6, b=4, c=1?
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How do you solve the triangle ABC given a=11, b=13, c=16?
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The diagonals of a parallelogram intersect at 42 degree angle and have lengths 12 and 7cm. How do you find the lengths of the sides of the parallelogram? See diagram.
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Two trains leave the same train station at the same time, moving along straight tracks that form 35 angle. If one train travels at an average speed of 100 mi/hr and the other at an average speed of 90 mi/hr, how far apart are the trains after 30 min?
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Three circles with radii 4, 5, 6cm respectively are tangent to each other externally. How do you find the angles of the triangle whose vertexes are the centers of the circles?
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How do you use the law of cosines to show that for any triangle ABC, #c^2<a^2+b^2# if C is acute and #c^2>a^2+b^2# if C is obtuse?
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How do you solve #a^2=3^2+5^2-2(3)(5)cos85#?
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How do you solve #c^2=12^2+10^2-2(12)(10)cos40#?
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How do you solve #7^2=11^2+9^2-2(11)(9)cosB#?
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How do you solve #13^2=8^2+6^2-2(8)(6)cosA#?
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How do you solve the triangle given a=20, c=24, B=47?
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How do you solve the triangle given a=345, b=648, c=442?
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How do you solve the triangle given A=36, a=10, b=19?
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How do you solve the triangle given A=25, B=78, a=13.7?
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How do you solve the triangle given a=21.5, b=16.7, c=10.3?
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How do you solve the triangle given a=16,b=24,c=41?
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How do you solve the triangle given a=8, b=24, c=18?
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How do you solve the triangle given B=19, a=51, c=61?
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How do you solve the triangle given A=56, B=22, a=12.2?
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How do you solve the triangle given a=4, b=8, c=5?
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How do you solve the triangle given a=21.5, b=13, C=38?
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How do you solve the triangle given A=40, b=7, c=6?
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The sides of a triangle form three consecutive terms in an arithmetic sequence, with sides of length #2x + 5#, #8x#, #11x + 1#. Determine the measure of the smallest angle within the triangle?
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In Triangle MAR, how do you express #m^2# in terms of a, r, and cosM?
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In Triangle NOP, how do you express #p^2# in terms of n, o, and cosP?
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In Triangle ABC, if a=3, b=5, and cosC=1/5, how do you find the exact value of c?
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In Triangle DEF, if e=8, f=3, and cosD=3/4, how do you find the exact value of d?
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In Triangle HIJ, if h=10, j=7, and cosI=0.6, how do you find the exact value of i?
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How do you find the exact value of the third side given triangle ABC, b=4, c=4, and #mangleA=pi/3#?
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How do you find the exact value of the third side given #triangle PQR#, p=6, #q=sqrt2# and #mangleR=pi/4#?
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How do you find the exact value of the third side given #triangle DEF#, #d=sqrt3#, e=5, and #mangleF=pi/6#?
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How do you find the exact value of the third side given #triangle DEF#, #d=sqrt3#, e=5, and #mangleF=pi/6#?
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How do you find the exact value of the third side given #triangle ABC#, a=6, b=4, #mangleC=(2pi)/3#?
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How do you find the exact value of the third side given #triangle RST#, RS=9, #ST=9sqrt3#, #mangleS=(5pi)/6#?
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How do you find the exact value of the third side given #triangle ABC#, #AB=2sqrt2, BC=4, mangleB=(3pi)/4#?
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How do you find the exact value of the third side given #triangle ABC#, #b=12.4, c=8.70, mangleA23#?
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How do you find the exact value of the third side given #triangle PQR#, #p=126, q=214, mangleR=42#?
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How do you find the exact value of the third side given #triangle DEF#, #d=3.25, e=5.62, mangleF=58#?
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How do you find the exact value of the third side given #triangle ABC#, #a=62.5, b=44.7, mangleC=133#?
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How do you find the exact value of the third side given #triangle RST#, #RS=0.375, ST=1.29, mangleS=167#?
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How do you find the exact value of the third side given #triangle ABC#, #AB=2.35, BC=6.24, mangleB=115#?
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In #triangle TUV#, how do you express CosT in terms of t, u, v?
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In #triangle PQR#, how do you express cosQ in terms of p, q, r?
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In #triangle KLM#, if k=4, l=5, m=8, how do you find the exact value of cos M?
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In #triangle XYZ# if x=1, y=2, #z=sqrt5#, how do you find the exact value of cosZ?
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In #triangle ABC#, #a=4,b=6, c=8#, how do you find the cosine of each of the angles?
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In #triangle ABC#, #a=12, b=8, c=8#, how do you find the cosine of each of the angles?
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In #triangle DEF, d=15, e=12, f=8#, how do you find the cosine of each of the angles?
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In #triangle MNP, m=16, n=15, p=8#, how do you find the cosine of each of the angles?
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In #triangle ABC, a=5, b=12, c=13#, how do you find the cosine of each of the angles?
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How do you find the measure of each of the angles of a triangle given the measurements of the sides are 12, 20, 22?
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How do you find the measure of each of the angles of a triangle given the measurements of the sides are 9, 10, 15?
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How do you find the measure of each of the angles of a triangle given the measurements of the sides are 30, 35, 45?
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How do you find the measure of each of the angles of a triangle given the measurements of the sides are 11, 11, 15?
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How do you find the measure of each of the angles of a triangle given the measurements of the sides are 32, 40, 38?
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How do you find the measure of each of the angles of a triangle given the measurements of the sides are 7, 24, 25?
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How do you solve the triangle given #A=116^circ, b=5, c=3#?
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How do you solve the triangle given #C=80^circ, a=9, b=2#?
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How do you solve the triangle given #f=10, g=11, h=4#?
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How do you solve the triangle given #w=20, x=13, y=12#?
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How do you solve the #triangle RST# given #R=35^circ, s=16, t=9#?
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How do you solve the #triangle ABC# given #C=84^circ, c=7, a=2#?
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How do you solve the #triangle HJK# given #h=18, j=10, k=23#?
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You walk 53m to the north, then turn 30 degrees to your right and walk another 45m. How far are you from where you orginally started?
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How do you solve the triangle given #a=1.42, b=0.75, c=1.25#?
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How do you solve the triangle given #A=135^circ, b=4, c=9#?
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How do you solve the triangle given #A=55^circ, b=3, c=10#?
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How do you solve the triangle given #B=10^circ35', a=40, c=30#?
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How do you solve the triangle given #B=75^circ20', a=6.2, c=9.5#?
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How do you solve the triangle given #B=125^circ40', a=32, c=32#?
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How do you solve the triangle given #C=15^circ15', a=6.25, b=2.15#?
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How do you solve the triangle given #C=103^circ, a=3/8, b=3/4#?
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Question #e435f
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Write #cos{(pi-:4)-a}# in terms of trigonometric ratios of just #a#?