A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 6, respectively. The angle between A and C is #(pi)/4# and the angle between B and C is # pi/4#. What is the area of the triangle?
Angles Opposite to Equal Sides of a Triangle are Equal. Theorem: Angles opposite to equal sides of an isosceles triangle are equal.
Conversely, equal angles will have equal sides opposite to them.
But side a = 2, side b = 6.
Hence the measures of the given triangle are not consistent.