Question

Given right triangle ABC, find the value of hypotenuse, a, and the measures of angle B and angle C.

Hypotenuse is a
5
11
A=
m m

Answer 1

Therefore

a=12

<B=66°

<C=24°

Explanation:

Hyp²=opp²+adj²

x²=5²+11²

x²=25+121

x²=126

`\sqrt{ {x}^(2) } = √(146)`

x=12

sinß=opp/hyp

sinß=11/12

`\beta = { \sin( (11)/(12) ) }^( - 1)`

ß=66°

<A+<B+<C=180°

90+66+<C=180

<C+156=180

<C=180-156

<C=24°