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 `(11pi)/24` and the angle between B and C is `(pi)/24`. What is the area of the triangle?

Answer 1

Area of the triangle is `3` `unit^2`

Explanation:

The angle between sides A & C is `/_B=11*pi/24 =82.5^0`
The angle between sides B & C is `/_A=pi/24 =7.5^0`
The angle between sides A& B is `/_C=180-(82.5+7.5)=90^0`
This is a right angled triangle whose base is side A and altitude is side B `:.` Area `= 1/2*A*B=1/2*2*3 =3` `unit^2`[Ans]