Question

A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 3, respectively. The angle between A and C is `(5pi)/24` and the angle between B and C is `(7pi)/24`. What is the area of the triangle?

Answer 1

Area of the triangle `=3`

Explanation:

Clearly this is a right-angled triangle
where `base= A=2 and height=B=3` and
angle between `A` and `B` =`pi-((7pi)/24+(5pi)/24)=pi-((pi)/2)=(pi)/2`
Therefore we can write

Area of the triangle `=1/2times height timesbase=1/2times3times2=3`