Question

A triangle has sides A, B, and C. The angle between sides A and B is `pi/3` and the angle between sides B and C is `pi/12`. If side B has a length of 2, what is the area of the triangle?

Answer 1

C = 1.79 and A = 0.53

Explanation:

Let the other sides of the Triangle be A and C.

then, `A*cos (pi/3)+C*cos (pi/12) = B = 2`

and `A*sin(pi/3) = C*sin (pi/12)`

ie `A /2 + C* 0.9659 = 2`

and `A sqrt 3/2 = C * 0.2588`

solve to get the answer as C = 1.79 and A = 0.53