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If c^2= a^3 + b^2 , write the value of 4s(s-a)(s-b)(s-c) in terms of a and b.

If c^2= a^3 + b^2 , write the value of 4s(s-a)(s-b)(s-c) in terms of a and b.
 

Grade:11

1 Answers

Arun
25750 Points
5 years ago
2s=a+b+c
s=(a+b+c)/2
By Heron's formula
Area=(s(s-a)(s-b)(s-c))1/2

a2+b2=c2 
Area=1/2 * a * b

(s(s-a)(s-b)(s-c))1/2=1/2 * a * b
s(s-a)(s-b)(s-c)=a2b2/4
4s(s-a)(s-b)(s-c)=a2b2

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