# A triangle has sides A, B, and C. Sides A and B have lengths of 8 and 3, 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?

Jun 27, 2018

Since $\hat{C} = 0$, with given measurements, we cannot form a triangle.

#### Explanation:

$\hat{A} = \frac{17 \pi}{24} , a = 8 , \hat{B} = \frac{7 \pi}{24} , b = 3$

$\therefore \hat{C} = \pi - \frac{17 \pi}{24} - \frac{7 \pi}{24} = 0$

For a triangle to exist, sum of the three angles must equal ${\pi}^{c}$

Since $\hat{C} = 0$, with given measurements, we cannot form a triangle.