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Mathematics

Calculate the co-ordinates of the centroid of the triangle ABC, if A = (7, -2), B = (0, 1) and C = (-1, 4).

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Answer

Centroid of the triangle is given by (G) = (x1+x2+x33,y1+y2+y33)\Big(\dfrac{x1 + x2 + x3}{3}, \dfrac{y1 + y2 + y3}{3}\Big)

Substituting values we get,

G=(7+0+(−1)3,−2+1+43)=(63,33)=(2,1).G = \Big(\dfrac{7 + 0 + (-1)}{3}, \dfrac{-2 + 1 + 4}{3}\Big) \\[1em] = \Big(\dfrac{6}{3}, \dfrac{3}{3}\Big) \\[1em] = (2, 1).

Hence, co-ordinates of centroid of the △ABC = (2, 1).

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