Question

Use the law of cosines to solve for the measure of the largest angle in triangle abc.

Answer 1

The law used for determining the measure of unknown sides and angles of a triangle. The measure of the largest angle in triangle abc is 98.25 degrees

Law of cosines

The law used for determining the measure of unknown sides and angles of a triangle. It is expressed as:

c² = a² + b² - 2abcosC

Given the following

c = 16

a = 12

b = 9

Substitute

16² = 12² + 9² - 2(9)(12)cosC

256 = 144 + 81 - 216cosC

31 = -216cosC

cosC = -31/216

C = 98.25 degrees

Hence the measure of the largest angle in triangle abc is 98.25 degrees

Learn more on cosine rule here:  brainly.com/question/23720007

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