In any triangle ABC, prove the following:

Question

Philoid · Accepted Answer

Let a, b, c be the sides of any triangle ABC. Then by applying the sine rule, we get

⇒c = k sin C

Similarly, b = k sin B

And a = k sin A

Here we will consider LHS, so we get

Substituting corresponding values in the above equation, we get

But,

Substituting the above values in equation (ii), we get

Hence proved