In any ΔABC, prove that
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]