Sketch a figure and solve each right triangle ABC with right angle at C , given that? A = 15.8 , B = 21

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Nimo N. Share
Feb 9, 2018

Answer:

See below.

Explanation:

Problem:
Sketch a figure and solve the right triangle ABC with right angle at C , given that? a = 15.8 , b = 21.

  • Usually, the vertices are labeled with Capital Letters, "A", "B", "C", and the opposites sides labeled with small letters "a", "b", "c".

Sketch:
enter image source here

Solution:
Since this is a right triangle, and c is the hypotenuse, we can use the Pythagorean Theorem formula to solve it.

# color(blue)( c^2 = a^2 + b^2 #
# c^2 = (15.8)^2 + (21)^2 #
# c^2 = 249.64 + 441 #
# c^2 = 690.64 #
# color(red)( c = sqrt(690.64) ~~ 26.28 #

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