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Deffense [45]
3 years ago
6

What are the measures of the angles in triangle ABC?

Mathematics
2 answers:
VMariaS [17]3 years ago
7 0

Complete 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?

a) m∠A ≈ 46.2°, m∠B ≈ 43.8°, m∠C ≈ 90°

b) m∠A ≈ 73.0°, m∠B ≈ 17.0°, m∠C ≈ 90°

c) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°

d) m∠A ≈ 74.4°, m∠B ≈ 15.6°, m∠C ≈ 90°

Answer:

c) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°

Step-by-step explanation:

Given:

Length AC = 7 inches

Length BC = 24 inches

Length AB = 25 inches

Since it is a right angle triangle,

m∠C = 90°

To find the measures of the angle in ∠A and ∠B, we have :

For ∠A:

SinA = \frac{BC}{AB}

SinA = \frac{24}{25}

SinA = 0.96

A = Sin^-^1 = 0.96

∠A = 73.7°

For ∠B:

SinB = \frac{AC}{AB}

SinB = \frac{7}{25}

SinB = 0.28

B = Sin^-^1 = 0.96

∠B = 16.26 ≈ 16.3°

Therefore,

m∠A = 73.7°

m∠B = 16.3°

m∠C = 90°

alexdok [17]3 years ago
7 0

Answer:

m∠A = 73.7°

m∠B = 16.3°

m∠C = 90°

Step-by-step explanation:

took the test :)

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