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[" I0.If "G" be the centroid of a triang...

[" I0.If "G" be the centroid of a triangle "ABC" and "P" be any "],[" other point in the plane,prove that "],[qquad RA^(2)+PB^(2)+PC^(2)=GA^(2)+GB^(2)+GC^(2)+3GP^(2)]

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If 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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