A triangle has sides A, B, and C. Sides A and B have lengths of 3 and 5, respectively. The angle between A and C is $(5pi)/24$ and the angle between B and C is $(5pi)/24$ . What is the area of the triangle?

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Answer 1 · 2018-02-17T07:50:36

Measurements not in order.

Third angle $C = pi - (5pi)/24 - (5pi)/24 = (7pi)/12$

It’s an isosceles triangle with angles $hatA = hat B = (5pi)/24$

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That means sides opposite to them must be equal.

Hence $a = b$ ; but given $a = 3, b = 5$

Hence the measurements are not in order.

A triangle has sides A, B, and C. Sides A and B have lengths of 3 and 5, respectively. The angle between A and C is (5pi)/24(5pi)/24 and the angle between B and C is (5pi)/24 (5pi)/24. What is the area of the triangle?