Let G be the Centroid of triangle ABC with sides a, b, c. If P be any point in the plane of triangle ABC such that PA=2, BP=5, PC=6 and PG=4 then find a^2 +b^2 +c^2.
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ABC is a triangle with vertices A(–3,2), B(3,2) and C(–2, –3) and D, E and F are the
midpoints of the sides BC, CA and AB respectively then prove that the centroid of the
triangle ABC coincides with
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