find area of triangle.

Question

In △ABC, m∠A=α, m∠B=β , m∠C=γ. AB = c , AC = b , BC = a. Find the areas of the triangles if the following parts are given. a =8, b =11, γ =27º

Find A

Answer 1

Area of triangle given two sides (a and b) and an included angle (<C) is 1/2*a*b*sin(C)

Here a=8, b=11 and m<C = 27

so area = 1/2*8*11*sin(27) = 19.98