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3 years ago

In △ABC,a=34, b=18, and c=17. Find m∠A. A. 14.1 B. 132.6 C. 152.5 D. 101.5

Mathematics

1 answer:

igomit [66]3 years ago

8 0

Answer:

C. m < A = 152.5 degrees.

Step-by-step explanation:

Use the Cosine Rule:

a^2 = b^2 + c^2 - 2.b.c.cos A

34^2 = 18^2 + 17^2 - 2.18.17 cos A

2.18.17 cos A = 18^2 + 17^2 - 34^2

cos A = (18^2 + 17^2 - 34^2) / (2.18.17)

cos A = -0.88725

m < A = 152.5 degrees.

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