# A triangle has sides A, B, and C. Sides A and B have lengths of 8 and 6, respectively. The angle between A and C is #(7pi)/24# and the angle between B and C is # (13pi)/24#. What is the area of the triangle?

##### 1 Answer

Aug 19, 2016

12

#### Explanation:

The angles in a triangle add up to

so the angle between sides A and B is 4

The area of a triangle is 1/2 x A x B x sin (angle between them)

Or 1/2 x 8 x 6 x sin

The ratio of the sides is 1;2:

Sin 30 =1/2

The area of the triangle is 1/2 x 8 x 6 x 1/2 =12