Question

In ΔABC, ∠C is a right angle. Find the remaining sides and angles. Round your answers to the nearest tenth.

a=14, c=23

Answer 1

3sqrt(37) 37.5 52.5

Explanation:

To solve for b, you have to use the Pythagorean theorem, a^2 + b^2 + c^2

14^2 + b^2 = 23^2

196 + b^2 = 529

b^2 = 333

b = 3sqrt(37)

Now you can use trig to solve for the angles

sin(B) = 14/23

B = arcsin(14/23)

B = 37.5

cos(A) = 14/23

A = arcos (14/23)

A = 52.5