# A triangle has sides A, B, and C. Sides A and B have lengths of 8 and 15, respectively. The angle between A and C is #(7pi)/24# and the angle between B and C is # (5pi)/8#. What is the area of the triangle?

##### 1 Answer

If

We know that:

and as the sum of the internal angles of a triangle always equals

We can use this to determine

Then we can use Eron's formula to calculate the area from the sides:

where

As the angles are not such as the sine is immediately known we can use approximate values or do a bit of computation using trigonometric formulas.

(see: https://socratic.org/questions/find-the-exact-value-of-sin-pi-12-cos-11pi-12-and-tan-7pi-12-2)

Then: