In any triangle ABC, prove the following:
Let a, b, c be the sides of any triangle ABC. Then by applying the sine rule, we get
⇒ a = k sin A, b = k sin B, c = k sin C
So the LHS of the given equation, we get
Substituting values from sine rule, we get
As A + B + C = π
Hence,
Similarly,
And,
Now , so the above equation becomes,
Canceling the like terms we get
Hence proved