ashleymendezmeza12
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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?

A) mZA= 46.2°, mZB=43.8°, mZC=90°
B) mZA= 73.0°, mZB= 17.0°, mZC = 90°
C) mZA 73.7°, mZB= 16.3°, mZC = 90°
D) mZA 74.4°, mZB= 15.6°, mZC = 90°

Respuesta :

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°

learn more on right triangle here: https://brainly.com/question/27899600

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