Solve the right triangle, δabc, for the missing side and angles to the nearest tenth given sides a = 13.2 and b = 17.7.

the missing side is , c= 22.1 and the missing angles are , ∠a= 36.7° and ∠b= 53.2° to the nearest tenth.

in the triangle abc, ∠c = 90°

the side opposite to ∠a is, a= 13.2 and side opposite to ∠b is, b= 17.7

according to the pythagorean theorem:

⇒ c = 22.1 (taking square root on both sides)

for finding the missing angles, we will use the sine rule of triangle.

according to the sine rule:

so the missing side is , c= 22.1 and the missing angles are , ∠a= 36.7° and ∠b= 53.2° to the nearest tenth.