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?

m∠A ≈ 46.2°, m∠B ≈ 43.8°, m∠C ≈ 90°
m∠A ≈ 73.0°, m∠B ≈ 17.0°, m∠C ≈ 90°
m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°
m∠A ≈ 74.4°, m∠B ≈ 15.6°, m∠C ≈ 90°

Answer 1

Answer:c

Step-by-step explanation:

Answer 2

The measures of the angles in triangle ABC are; m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°

How to find the measures of angles in triangle ABC

It follows that the right angle is between the two shorter sides;

• Hence, the angle measure, m∠C ≈ 90°.

On this note, the angle, m∠A is opposite side BC;

Therefore, from sine formula;

• Sin m∠A ≈ 24/25

• Sin m∠A ≈ 0.96

• m∠A ≈ sin-¹(0.96)

m∠A ≈ 73.7°

And from sum of angles in a triangle;

m∠A ≈ 16.3°

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