A triangle has sides A, B, and C. Sides A and B have lengths of 5 and 3, respectively. The angle between A and C is #(19pi)/24# and the angle between B and C is # (pi)/8#. What is the area of the triangle?
Let's use the standard notation where the lengths of the sides are the lowercase letters, a, b, and c and the angles opposite the sides are the corresponding uppercase letters, A, B, and C.
We are given
We can compute angle C:
Now we can use Heron's Formula to compute the area:
Correction made to the following lines: