# 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?

Feb 17, 2018

Measurements not in order.

#### Explanation:

Third angle $C = \pi - \frac{5 \pi}{24} - \frac{5 \pi}{24} = \frac{7 \pi}{12}$

It’s an isosceles triangle with angles $\hat{A} = \hat{B} = \frac{5 \pi}{24}$

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.