Q23 of 25 Page 10

Prove that in a ΔABC, , where a, b, and c are the magnitude of sides of the triangle opposite to angles A, B and C respectively.

Given, A triangle ABC , where a,b and c are the magnitude of sides of the triangle.

Explanation: In ∆ABC,


Let us Assume that





Then,


We can write as





…(i)


Now, for





…(ii)


From (i) and (ii)



And,






Then,



a b Sin C = b c Sin A=c a Sin B


On dividing by abc, we get



Hence,


Hence, Proved


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