# Find the co-ordinates of the centroid of the triangle whose vertices are (x1, y1, z1) (x2, y2, z2) and (x3, y3, z3)

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Find the co-ordinates of the centroid of the triangle whose vertices are (x1, y1, z1) (x2, y2, z2) and (x3, y3, z3)

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Note: Centroid is the point of intersection of the medians of the triangle and it is denoted by G. Centroid divides the median in the ratio 2:1.

Let A = (x1, y1, z1) , B = (x2, y2, z2) and C = (x3, y3, z3) be the vertices of the triangle ABC. Let AD be the median drawn from A. Then D is the mid-point of BC.

Let G be the centroid of the ΔABC. median AD in the ratio 2 : 1.

∴ The coordinates of G are,