A triangle has sides A, B, and C. The angle between sides A and B is #pi/4# and the angle between sides B and C is #pi/12#. If side B has a length of 9, what is the area of the triangle?
Applying the law of sines,
a = (b * sin A) / sin B = (9 * sin (pi/12)) / sin ((2pi)/3) = 2.69#
Area of triangle, known two sides and the included angle is