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

Feb 17, 2018

Since the third angle $\hat{C} = 0$, such a triangle can’t exist.

#### Explanation:

Given $\hat{^} B = \frac{17 \pi}{24} , \hat{A} = \frac{7 \pi}{24}$

Since $\hat{A} + \hat{B} = \frac{7 \pi}{24} + \frac{17 \pi}{24} = \pi$,

Third angle $\hat{C} = \pi - \pi = 0$

Hence, such a triangle can’t exist.