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




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


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