A triangle has sides A, B, and C. Sides A and B have lengths of 5 and 3, 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?

Jun 21, 2017

$\text{area "~~12.99" square units}$

Explanation:

$\text{the area of this triangle can be calculated using}$

• " area "=A.B.sin("angle between A and B")

$\text{angle between A and B } = \pi - \left(\frac{11 \pi}{24} + \frac{5 \pi}{24}\right) = \frac{\pi}{3}$

$\Rightarrow \text{area "=5xx3xxsin(pi/3)~~12.99" square units}$