A triangle has sides A, B, and C. Sides A and B have lengths of 6 and 8, respectively. The angle between A and C is $(17pi)/24$ and the angle between B and C is $(7pi)24$ . What is the area of the triangle?

Question

1736 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-26T07:25:51

$color(red)("Triangle cannot exist with the given measurements"$

$a = 6, hat A = (7pi)/24, hat B = (17pi) / 24, b = 8$

Since $hat A + hat B = (7pi)/24 + (17pi)/24 = pi$ , third angle $hat C$ becomes zero .

Hence a triangle cannot exist with the given measurements.

A triangle has sides A, B, and C. Sides A and B have lengths of 6 and 8, respectively. The angle between A and C is (17pi)/24(17pi)/24 and the angle between B and C is (7pi)24 (7pi)24. What is the area of the triangle?