If G be the centroid of a triangle ABC and P be any other point in the – InterviewSolution

1.	If G be the centroid of a triangle ABC and P be any other point in the plane, prove that PA2+PB2+PC2=GA2+GB2+GC2+3GP2.
Answer» If G be the centroid of a triangle ABC and P be any other point in the plane, prove that $P A^{2} + P B^{2} + P C^{2} = G A^{2} + G B^{2} + G C^{2} + 3 G P^{2}$ .

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