A triangle has sides A, B, and C. Sides A and B are of lengths $5$ and $2$ , respectively, and the angle between A and B is $(7pi)/12$ . What is the length of side C?

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Answer 1 · 2016-10-17T23:44:18

$c ~~ 5.85$

Given:

$a = 5$
$b = 2$
$/_C = (7pi)/12$

$c^2 = a^2 + b^2 - 2(a)(b)cos(C)$

$c^2 = 5^2 + 2^2 - 2(5)(2)cos((7pi)/12)$

$c ~~ 5.85$

A triangle has sides A, B, and C. Sides A and B are of lengths 55 and 22, respectively, and the angle between A and B is (7pi)/12 (7pi)/12 . What is the length of side C?