If , and are the mid-points of the sides , and of triangle , then find where is the…

MATHEMATICS · Subjective · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

If D(−2,3)D(-2, 3), E(4,−3)E(4, -3) and F(4,5)F(4, 5) are the mid-points of the sides BCBC, CACA and ABAB of triangle ABCABC, then find [AG2+BG2−CG2]\sqrt{[AG^2 + BG^2 - CG^2]} where GG is the centroid of ΔABC\Delta ABC.

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