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What is m∠A ? Can someone help me

What is m∠A ? Can someone help me-example-1
User Dan Bray
by
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1 Answer

4 votes

Answer:

38°

Explanation:

The triangle solver app on your calculator, phone, or tablet can solve this for you readily. There are on-line triangle solvers, too.

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For solution "by hand", the Law of Cosines is useful. It tells you ...

a^2 = b^2 + c^2 -2ab·cos(A)

Then the angle A can be found as ...

cos(A) = (b^2 +c^2 -a^2)/(2ab) = (3^2 +7^2 -5^2)/(2·3·7) = 33/42 = 11/14

A = arccos(11/14) ≈ 38°

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In formulas like the Law of Cosines or the Law of Sines, the uppercase letters stand for the measures of angles, and the lowercase letters stand for their opposite side lengths.

What is m∠A ? Can someone help me-example-1
User Jong
by
5.7k points