# A triangle has sides A, B, and C. Sides A and B have lengths of 5 and 3, respectively. The angle between A and C is (pi)/2 and the angle between B and C is  (pi)/8. What is the area of the triangle?

Feb 17, 2018

As hatB (pi/2) > hatA ((pi/8), side b (3) must be greater than side a (5).

Since it’s not so, given measurements do not satisfy the conditions of a triangle.

#### Explanation:

Given : $a = 5 , b = 3 , \hat{A} = \frac{\pi}{8} , \hat{B} = \frac{\pi}{2}$

It’s a right triangle.

Greater side will have greater angle opposite to it.

As hatB (pi/2) > hatA ((pi/8), side b (3) must be greater than side a (5).

Since it’s not so, given measurements do not satisfy the conditions of a triangle.