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

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(pi)/4 and the angle between B and C is (pi)/8 (pi)/8. What is the area of the triangle?