A triangle has sides A, B, and C. Sides A and B have lengths of 8 and 3, respectively. The angle between A and C is $(13pi)/24$ and the angle between B and C is $(pi)24$ . What is the area of the triangle?

Question

2179 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-03T09:19:28

$11.591$

Since angle B is $(13pi)/24$ and angle A is $(pi)/24$ , we know that angle C is $pi-((13pi)/24+pi/24)=(10pi)/24=(5pi)/12$

Given $a=8$ , $b=3$ , and $C=(5pi)/12$ , we can calculate the area using $1/2 a b sin(C)$ :

Area = $1/2 (3)(8)sin((5pi)/12)$

$approx 11.591$

A triangle has sides A, B, and C. Sides A and B have lengths of 8 and 3, respectively. The angle between A and C is (13pi)/24(13pi)/24 and the angle between B and C is (pi)24 (pi)24. What is the area of the triangle?