The centroid of a triangle ABC is at the point (1, 1, 1). If the coordinates of A and B are (3, –5, 7) and (–1, 7, – 6), respectively, find the coordinates of the point C.

Question

TextCentroid of a Triangle Using Coordinates

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If the origin is the centroid of the triangle PQR with vertices P (2a, 2, 6), Q (– 4, 3b, –10) and R(8, 14, 2c), then find the values of a, b and c.

The coordinates of the vertices of △ABC are respectively (–4, –2), (6, 2) and (4, 6). The centroid G of △ABC is: