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 `(7pi)/24` and the angle between B and C is `(5pi)/8`. What is the area of the triangle?

Answer 1

Area of the triangle is `0.78` units

Explanation:

`/_B =7*180/24=52.5^0 ; /_A=5*180/8=112.5^0 :./_C=180-(52.5+112.5)=15^0` Now he two sides of the triangle A B and their included angle are `2 ,3 and 15^0` Hence the Area of the triangle is `(A*B*sin(C))/2 =(2*3*26)/2=0.78` Units[Ans]