# A triangle has sides A, B, and C. Sides A and B are of lengths 8 and 6, respectively, and the angle between A and B is (pi)/8 . What is the length of side C?

Feb 24, 2018

Length of side  color(green)(c = 3.3628

#### Explanation:

Given : $a = 8 , b = 6 , \hat{C} = \frac{\pi}{8}$

Applying cosine law,

$c = \sqrt{{a}^{2} + {b}^{2} - \left(2 a b \cos C\right)}$

c = sqrt(8^2 + 6^2 - (2 * 8 * 6 * cos (pi/8))

$c = 3.3628$