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  • If c^2=a^2+b^2 ; a+b+c=2s, then 4s(s-a)(s-b)(s-c) equals

If c^2=a^2+b^2 ; a+b+c=2s, then 4s(s-a)(s-b)(s-c) equals

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Solution:     c^2=a^2+b^2Rightarrow angle C=90^circ

                We know that

                  Delta =sqrts(s-a)(s-b)(s-c)       .......(1)

              and       Delta=frac12absin C                          ........(2)

             From   (1)   4Delta ^2=4s(s-a)(s-b)(s-c)

            From     (2)   2Delta =ab sin 90^circRightarrow 4Delta ^2=a^2b^2  

Posted by

Deependra Verma

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