A triangle has sides A, B, and C. Sides A and B have lengths of 4 and 7, respectively. The angle between A and C is #(pi)/4# and the angle between B and C is # (pi)/8#. What is the area of the triangle?

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Answer 1 · 2018-02-17T09:56:31

Doesn’t qualify to form a triangle

Formula for Area of triangle #A_t = (1/2) a b sin C#

Given #a = 4, b = 7, hatB = pi/4, hatA = pi/8#

#hat C = pi - pi/8 - pi/4 = (5pi)/8#

#a / sin A = 4 / sin (pi/8) = 10.4525#

#b / sin B = 7 / sin (pi/4) = 9.8995#

#a / sin A != b / sin B#

Hence doesn’t qualify to form a triangle