Question

A right triangle has side lengths AC = 7 inches, BC = 24

Answer 1

Therefore, the measures of the angles in triangle ABC is as follows:

• m∠A 73.7°, m∠B = 16.3°, m∠C = 90°

How to find angles of right triangle?

The measure of the angles in the right triangle can be found as follows:

Using trigonometric ratios,

sin ∅ = opposite / hypotenuse

sin ∅ = 7 / 25

∅ = sin ⁻¹ 0.28

∅ = 16.2602047083

∅ = 16.3°

Hence,

m∠B = 16.3°

m∠C = 90°

m∠A = 180 - 90 - 16.3 = 73.7°

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