A triangle has sides A, B, and C. Sides A and B are of lengths 8 and 5, respectively, and the angle between A and B is pi/6. What is the length of side C?

Oct 31, 2016

$c \approx 4.44$
${c}^{2} = {a}^{2} + {b}^{2} - 2 \left(a\right) \left(b\right) \cos \left(\theta\right)$
${c}^{2} = {8}^{2} + {5}^{2} - 2 \left(8\right) \left(5\right) \cos \left(\frac{\pi}{6}\right)$
$c \approx 4.44$