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Pls solve If (s-a) + (s-b)+(s-c)=s then the value of (s-a) 2 + (s-b) 2 +(s-c) 2 /( a) 2 +(b) 2 +(c) 2 is????

Pls solve
If (s-a) + (s-b)+(s-c)=s   then the value of
(s-a)2 + (s-b)2 +(s-c)2/(a)2+(b)2+(c)2  is????

Grade:12th pass

2 Answers

Sourabh Singh IIT Patna
askIITians Faculty 2104 Points
7 years ago
243-173_capture.PNG
md gayashuddin
17 Points
6 years ago
Answer should be : 1 not ¼
by solving we get s = (a + b + c)/2
First find (s-a)2 = (-a+b+c)2/4
similarly (s-b)2 = (a-b+c)2/4
similarly (s-c)2 = (a+b-c)2/4
and s2= (a+b+c)2
Then solve : ((s-a)2 +(s-b)2 +(s-c)2+s2)/(a2+b2+c2)
we get answer : 1

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