Triangle A B C is shown. The length of side A is 12 inches, the length of side B is 6 StartRoot 3 EndRoot, and the length of side C is 6 inches.

What are the angle measures in triangle ABC?
m∠A = 90°, m∠B = 30°, m∠C = 60°
m∠A = 60°, m∠B = 90°, m∠C = 30°
m∠A = 90°, m∠B = 60°, m∠C = 30°
m∠A = 60°, m∠B = 30°, m∠C = 90°

Respuesta :

The angle measures in triangle ABC are (d) m∠A = 60°, m∠B = 30°, m∠C = 90°

How to determine the angle measures?

The side lengths are given as:

AB = 12 inches

BC = 6√3 inches

CA = 6 inches

From the list of options, the angles are 30°, 60° and 90°, respectively.

In a triangle, the angle opposite the largest side is the largest angle and vice versa.

This means that:

∠C = 90° --- opposite AB

∠A = 60° --- opposite BC

∠B = 30° --- opposite CA

Hence, the angle measures in triangle ABC are (d) m∠A = 60°, m∠B = 30°, m∠C = 90°

Read more about triangles at:

https://brainly.com/question/14527856

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Complete question

The length of side AB is 12 inches, the length of side BC is 6√3, and the length of side CA is 6 inches.

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