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G is the centroid of Triangle ABC and a,b,c are the lengths of the sides BC,CA and AB respectively.Prove that a^2+b^2+c^2=3(OA^2+OB^2+OC^2)-9(OG)^2 where O is any Point

G is the centroid of Triangle ABC and a,b,c are the lengths of the sides
BC,CA and AB respectively.Prove that a^2+b^2+c^2=3(OA^2+OB^2+OC^2)-9(OG)^2
where O is any Point

Grade:12

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