Answers edited by CW
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ABCD is a cyclic quadrilateral where BC is diameter and angle ADC = 130 degree . Find the value of angle ACB?
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Question #6fd74
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ABCD is a trapezium whose BC parallel AD and AD = 4 cm. Diagonals AC and BD are intersected at O in such way that #[AO]/[OC] = [DO]/[OB] = 1/2#, then what is the length of BC?
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A triangle has corners at #(4 ,3 )#, #(2 ,6 )#, and #(7 ,5 )#. How far is the triangle's centroid from the origin?
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A rectangular park is #5/8# mile long. If its area is #5/24# square mile, what is the width of the park?
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Question #17251
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In an triangle, AC = BC and #AC^2 = 2AB^2#, then what will be angle of C?
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A parallelogram has sides with lengths of #16 # and #9 #. If the parallelogram's area is #45 #, what is the length of its longest diagonal?
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Question #8107e
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AC←→ is tangent to the circle with center at B. The measure of ∠ACB is 24°.
What is the measure of ∠ABC?
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Question #aa415
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How do you solve #4^(x+1) = 8#?
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Question #dd644
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A tangent-tangent angle intercepts two arcs that measure 135° and 225°. What is the measure of the tangent-tangent angle?
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Question #e88e1
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What is value of x?
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What are the values of x and y?What is the answer in simplest form?
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A parallelogram has an inscribed circle touching all its four sides. How do you prove that it is a rhombus?
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Question #20490
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The diagram below shows five squares of respective side lengths 1, 1, 2, 3
and 5. The centres A, B and C of three of the squares lie on a straight line.
What is the ratio of the length BC to the length AB?
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Question #773ea
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A triangle has corners at #(5 ,1 )#, #(9 ,3 )#, and #(4 ,7 )#. How far is the triangle's centroid from the origin?
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Question #1378b
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Question #19822
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The figure below shows a square ABCD of side 6 cm. Given that E is the
midpoint of AB, points F and G are on BC so that BF = FG = GC. What is the
total area of the shaded region in #cm^2#?
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A box that is 16.5 cm by 22 cm holds one layer of 12 balls packed tightly. What is the radius of each ball?
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Question #02b52
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ABC is a right triangle. AM is perpendicular to BC. The size of angle ABC is equal to 55 degrees. What is angle MAC?
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How do you determine the number of possible triangles and find the measure of the three angles given #BC=12, AC=12sqrt2, mangleB=135#?
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A triangle has corners at #(5 ,1 )#, #(2 ,7 )#, and #(7 ,2 )#. What is the area of the triangle's circumscribed circle?
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Through how many degrees does the hour hand of a clock turn from 4:00 pm to 8:00 pm of the same day?
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A triangle is divided into seven triangles. The areas of four of them are 420 #cm^2#, 80 #cm^2#, 60 #cm^2# and 30 #cm^2# as shown in the diagram on the right. Find the area of triangle AEF, in #cm^2#?
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In triangle ABC, AB=AC.The circle through B touches the side AC at the mid-point D of AC, passes through a point P on AB. Prove that 4 ×AP = AB ?
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In triangle ABC, AD and BE are altitudes and AP and BQ are angle bisectors at
A and B respectively, where P lies on CD and Q lies on CE. If #angle# PAD = 6°
and #angle#QBE =18° , what is the degree of #angle#BCA?
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Question #f3da8
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Circle A has a center at #(7 ,1 )# and a radius of #1 #. Circle B has a center at #(2 ,-3 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them?
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E is a point on the side BC of a square ABCD such that BE=20cm and CE=28 cm. P is a point of the diagonal BD. What is the smallest possible value, in cm, of PE+PC?
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Question #42a62
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Question #023f3
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The length of the radius of two circles are 5 cm and 3 cm. The distance between their center is 13 cm. Find the length of the tangent who touches both the circles?
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Question #c9a9a
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How do you find the radius of the circumscribed circle?
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A triangle has corners A, B, and C located at #(2 ,7 )#, #(3 ,5 )#, and #(9 , 6 )#, respectively. What are the endpoints and length of the altitude going through corner C?
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If the height of an equilateral triangle is 24, what is the area of the triangle?
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A square drawn inside a circle so that its vertices touch the circle. If the is radius of the circle is 15 cm, what is the perimeter of the square?
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Three vertices of parallelogram WXYZ are W(3,1), X(2,7),and Z(4,0). How do I find the coordinates of vertex Y?
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Question #63626
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How do you use the Pythagorean theorem to find the length of the diagonal of a square that has an area of 100 square inches?
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Question #5bcbb
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Question #e355e
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In the figure given below, the side of the square ABCD is 2 cm. E is the midpoint of AB and F is the midpoint of AD. G is a certain point on CF and 3CG=2GF. What is the area of the shaded triangle BEG, in cm2?
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Question #72b8f
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Question #41b40
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Question #f2b43
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A triangle has two corners with angles of # pi / 12 # and # pi / 12 #. If one side of the triangle has a length of #9 #, what is the largest possible area of the triangle?
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Question #44f8f
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Question #0c3cd
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How do you find the length of each leg of an isosceles right triangle whose hypotenuse is 14 cm?
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Given A = (-1,0) and B = (11,4), how do you show that the equation of the circle with AB as diameter may be written as #(x-5)^2 + (y-2)^2 = 40#?
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A closed rectangular box has a height of 2 feet, a length of 4 feet, and a width of 4 feet. What is the volume of the box? What is the surface area of the box?
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In the diagram below, ABC is an equilateral triangle of side length 7 cm. The
arcs AB, BC and CA are drawn with centres C, A and B respectively. Find the
total length, in cm, of the three arcs. ?
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A triangle has corners at #(2 , 6 )#, #(3 ,9 )#, and #(4 ,8 )#. What is the radius of the triangle's inscribed circle?
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If #3^m=81#, then what is #m^3?
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