A triangle has sides A, B, and C. Sides A and B are of lengths $5$ and $8$ , respectively, and the angle between A and B is $pi/12$ . What is the length of side C?

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Answer 1 · 2016-11-06T19:09:42

3

You'd need to use the cosine rule
$c^2=a^2+b^2-2abcosC$ -(rearranged to find c)

$c^2=5^2+8^2-2xx5xx8xxcos(pi/12)$

$c^2=9.000835...$

$c=sqrt9.00835...=3.000139...~~3$

A triangle has sides A, B, and C. Sides A and B are of lengths 55 and 88, respectively, and the angle between A and B is pi/12pi/12. What is the length of side C?