# A triangle has sides A, B, and C. Sides A and B have lengths of 12 and 5, respectively. The angle between A and C is (11pi)/24 and the angle between B and C is  (5pi)/24. What is the area of the triangle?

Aug 7, 2016

$= 18$

#### Explanation:

This is a triangle where base $b = 5$
Height $h = 12 \sin \left(\frac{5 \pi}{24}\right) = 12 \left(0.6\right) = 7.2$
Area$= \frac{1}{2} \left(b\right) \left(h\right)$
$= \frac{1}{2} \left(5\right) \left(7.2\right)$
$= \frac{36}{2}$
$= 18$