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

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:

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
${c}^{2} = {\left(15.8\right)}^{2} + {\left(21\right)}^{2}$
${c}^{2} = 249.64 + 441$
${c}^{2} = 690.64$
 color(red)( c = sqrt(690.64) ~~ 26.28

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