# A triangle has sides A, B, and C. Sides A and B have lengths of 7 and 5, respectively. The angle between A and C is #(11pi)/24# and the angle between B and C is # (7pi)/24#. What is the area of the triangle?

##### 1 Answer

Feb 21, 2016

#### Explanation:

Call the angle opposite side A as

and similarly the angle opposite Side B as

and the angle opposite Side C as

We are told (among other things) that:

The Sine Law tells us

So

Evaluating we get:

We now have the lengths of the three sides and can apply Heron's Formula:

where