A triangle has sides A, B, and C. Sides A and B have lengths of 3 and 2, respectively. The angle between A and C is #(11pi)/24# and the angle between B and C is # (pi)/8#. What is the area of the triangle?
The third angle opposite sides
Hence area of triangle is
We have not used
and area of triangle is
Why this dichotomy? The fact is that we need either (a) one side and both angles on it; or (b) two sides and included angle and (iii) three sides of a triangle to identify a triangle and find area or other sides and angles of a triangle. However here we have been given four parameters and they give two different results depending on whether we take side