A triangle has sides A, B, and C. The angle between sides A and B is #(pi)/2# and the angle between sides B and C is #pi/4#. If side B has a length of 3, what is the area of the triangle?
Note that the sum of all angles in a triangle must be
The remaining angle is
Also note that triangle
The area of a triangle given the base and height is
Therefore, the area of the triangle is