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

Question

1663 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-24T14:24:44

Length of side $c = color(blue)(7.76)$

enter image source here

Given $a = 7, b = 2, hatC = ((7pi)/12)$

To find length of side $c$

Applying cosine law,

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

$=> = sqrt(7^2 + 2^2 - (2 * 7 * 2 cos ((7pi)/12)))= color(blue)(7.76)$

A triangle has sides A, B, and C. Sides A and B are of lengths 77 and 22, respectively, and the angle between A and B is (7pi)/12 (7pi)/12 . What is the length of side C?