Question

A triangle has sides A, B, and C. Sides A and B have lengths of 10 and 8, respectively. The angle between A and C is `(11pi)/24` and the angle between B and C is `(7pi)/24`. What is the area of the triangle?

Answer 1

The area of triangle is `28.28` Sq.unit

Explanation:

The Angle between sides A & B is `/_C=pi-(11*pi/24+7*pi/24)=pi/4=45^0`
We know the area of triangle with two sides A & B and their included angle is `(side A * side B * sin C)/2 = 10*8*sin45/2=28.28` square unit[Ans]