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lf G be the centroid of a triangle ABC a...

lf G be the centroid of a triangle ABC and P be any other point in the plane prove that `PA^2+PB^2+PC^2=GA^2+GB^2+GC^2+3GP^2`

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The correct Answer is:
`GA^(2)+GB^(2)+GC^(2)+3GO^(2)`.
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