Question

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?

Answer 1

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, hatA = pi/8, hat B = 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.