A triangle has sides A, B, and C. Sides A and B have lengths of 4 and 3, respectively. The angle between A and C is #(11pi)/24# and the angle between B and C is # (3pi)/8#. What is the area of the triangle?
Using the Law of Cosines we can find the other side, and then the area.
Law of Cosines equation is
From the given angles, the third angle is
We now use Heron's formula for the area: