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Mathematics

The co-ordinates of the centroid of a triangle with vertices (-6, -3), (0, 0) and (12, -6) are :

  1. (2, 3)

  2. (-2, 3)

  3. (2, -3)

  4. (-2, -3)

Section Formula

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Answer

By formula,

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

Substituting values we get :

Centroid =(−6+0+123,−3+0+(−6)3)=(63,−93)=(2,−3).\text{Centroid } = \Big(\dfrac{-6 + 0 + 12}{3}, \dfrac{-3 + 0 + (-6)}{3}\Big) \\[1em] = \Big(\dfrac{6}{3}, \dfrac{-9}{3}\Big) \\[1em] = (2, -3).

Hence, Option 3 is the correct option.

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