Question

Suppose there is a triangle with sides a, b, and c and angles A, B, and C. Using the known given information below and the law of cosines, what is the measure of angle A? Round your answer to the nearest whole number, if necessary.

a = 10 cm

b = 17 cm

c = 11 cm

Answers


45°

127°

87°

34°

Answer 1

The angle A of the triangle ABC has a measure of approximately 34°. (Right choice: D)

How to find the missing angle of a triangle by the law of cosine

To determine the missing angle of a triangle by the law of the cosine, we must know the lengths of the three sides of the figure. Please notice that angle A is opposite to the side a in accordance with the law of the cosine. Then:

$\cos \theta = \frac{(10\,cm)^{2}-(17\,cm)^{2}-(11\,cm)^{2}}{-2\cdot (17\,cm)\cdot (11\,cm)}$

θ ≈ 34.016°

The angle A of the triangle ABC has a measure of approximately 34°. (Right choice: D)

To learn more on law of the cosine: https://brainly.com/question/17289163

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