# A triangle has sides A, B, and C. Sides A and B have lengths of 8 and 10, respectively. The angle between A and C is #(5pi)/8# and the angle between B and C is # (5pi)/24#. What is the area of the triangle?

##### 1 Answer

Mar 18, 2018

The area is

#### Explanation:

The area is half the product of two sides times the sine of the included angle between them. Here you have two sides but the *other* two angles. You need the third angle which is the one you want in the formula.

Use the fact that the angles of a triangle add up to

Then