Which divides each line in the given ratio

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Let ABCD be a general tetrahedron and let P, Q, R, S be the median centres of the faces opposite to the vertices A, B, C, D respectively.

Show that the lines AP, B Q, C R, DS all meet in a point (called the centroid of the tetrahedron), which divides each line in the ratio 3:1.

Reference no: EM131383993

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