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G is centroid of Delta ABC and a,b,c are...

G is centroid of `Delta 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(bar(OA)^(2)+bar(OB)^(2)+bar(OC)^(2))-9(bar(OG))^(2)` where O is any point.

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The correct Answer is:
`3(OA^(2)+OB^(2)+OC^(2))-9(OG)^(2)`.
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