# 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

Similarly, b = k sin B

And c = k sin C…..(i)

So, a + b = k(sin A + sin B)..(ii)

So the given LHS becomes, Substituting equation (i) and (ii) in above equation, we get  Applying half angle rule, And Substituting equation (iii) and (iv) in equation (ii), we get    Hence proved

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