# 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 (7pi)/24 and the angle between B and C is  (17pi)/24. What is the area of the triangle?

Oct 11, 2016

No such triangle is possible.
As a degenerate form the triangle would have an area of $0$

#### Explanation:

The sum of the 3 interior angles must add up to $\pi$ (radians)

$\angle A : C + \angle B : C = \frac{7 \pi}{24} + \frac{17 \pi}{24} = \frac{24 \pi}{24} = \pi$

$\rightarrow \angle A : B = 0$