# A triangle has sides A, B, and C. Sides A and B have lengths of 17 and 4, 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?

May 3, 2018

color(indigo)("Since the values are inconsistent, we can not form a triangle with the given measures"

#### Explanation:

$\hat{A} = \frac{5 \pi}{24} , a = 17 , \hat{B} = \frac{5 \pi}{24} , b = 4$

Equal angles will have equal sides opposite toit.

Given $\hat{A} = \hat{B} = \frac{5 \pi}{24}$

$\therefore \text{side a must be equal to side b}$

But given $a = 17 , b = 4$

color(indigo)("Since the values are inconsistent, we can not form a triangle with the given measures"