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If G be the centroid of a triangle ABC, prove that:

AB2+BC2+CA2=3(GA2+GB2+GC2)

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Best answer

Let A(b,c), B(0,0), C(a,0) be the coordinates of ΔABC

Then coordinates of centroid are

To prove:

Solving R.H.S

Therefore L.H.S = R.H.S proved.

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by (3.8k points)

   Here is your solution..

 
 

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