Answer :

Need to prove:


Right hand side



, where s is half of perimeter of triangle.


4(s(s – a) + s(s – b) + s(s – c))


4(3s2 – s(a + b + c))


We know, 2s = a +b +c


So,




3(a + b + c)2 – 2(a + b + c)2


(a + b + c)2


Right hand side. [Proved]


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