Question

A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 6, respectively. The angle between A and C is `(7pi)/24` and the angle between B and C is `(5pi)/24`. What is the area of the triangle?

Answer 1

Area=6 sqare units

Explanation:

The opposite angle of side B(6) is`7*180/24=52.5^0`
The opposite angle of side A(6) is`5*180/24=37.5^0`
So it is a right angled triangle as the third angle is `180-(52.5+37.5)=90^0`Hence the area of the triangle is `1/2*6*2=6` square units[Answer]