Question

A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.

What are the measures of the angles in triangle ABC?

Answer 1

Angle C is 90 degrees
Angle B is 16
Angle A is 74

Answer 2

90, 74, 16 degrees

Explanation:

Given that a right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.

We find that

AC square + BC square = AC square

`7^2 +24^2 =625 = 25^2`

So angle C = 90 degrees.

sin A = 24/25

So A = 74 degrees and B = 16 degrees