A triangle has sides A, B, and C. Sides A and B have lengths of 7 and 9, respectively. The angle between A and C is #(3pi)/8# and the angle between B and C is # (5pi)/24#. What is the area of the triangle?
I think the simplest way to think about the problem is to draw out a diagram.
The area of a triangle can be calculated using
To calculate angle C, use the fact that angles in a triangle add up to 180
Therefore, angle C is
Now we can calculate the area.