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# Not understanding this precalculus problem, please help!?

The three sides of a triangle are 14, 17 and 27. Correct to the nearest tenth of a degree, what is the measure of the angle opposite to the largest side?

A) 91.7o

B) 92.3o

C) 96.0o

D) 100.5o

E) 102.0o

F) 108.1o

G) 108.5o

H) 120.8o

I) none of these

### 2 Answers

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- ironduke8159Lv 78 years ago
Law of Cosines. Let X = the angle. Then:

27^2 = 14^2 +17^2 - 2*14*17*cosx

Now solve for x

- workoutgirl1235Lv 68 years ago
27² = 14² + 17² - 2*14*17cosΘ

cosΘ = (14² + 17² - 27²)/(2*14*17)

cosΘ = -.5126

Θ = 120.8º

answer choice is H)

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