A triangle has sides A, B, and C. If the angle between sides A and B is #(pi)/6#, the angle between sides B and C is #(5pi)/12#, and the length of B is 2, what is the area of the triangle?
First of all let me denote the sides with small letters a, b and c
Let me name the angle between side "a" and "b" by
Note:- the sign
We are given with
It is given that side
Using Law of Sines
Area is also given by