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Mathematics

The centroid of the triangle whose vertices are (3, -7), (-8, 6) and (5, 10) is

  1. (0, 9)

  2. (0, 3)

  3. (1, 3)

  4. (3, 3)

Section Formula

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Answer

Centroid of the triangle is given by

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

By putting values in the formula we get centroid of the triangle,

=(3+(−8)+53,−7+6+103)=(03,93)=(0,3).= \Big(\dfrac{3 + (-8) + 5}{3}, \dfrac{-7 + 6 + 10}{3}\Big) \\[1em] = \Big(\dfrac{0}{3}, \dfrac{9}{3}\Big) \\[1em] = (0, 3).

Hence, Option 2 is the correct option.

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