Find the co-ordinates of the centroid of the triangle whose vertices are (3,-5) , (4,3) , (11,-4).

(4 , -3)

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(-6 , 3)

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(3 , -2)

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(6 , -2)

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Solution

The correct option is D (6 , -2)
Here $x_{1} = 3, x_{2} = 4 & x_{3} = 11$
And $y_{1} = - 5, y_{2} = 3 & y_{3} = - 4$

Co-ordinates of centroid
$(x, y) = (\frac{x_{1} + x_{2} + x_{3}}{3}, \frac{y_{1} + y_{2} + y_{3}}{3}) = (\frac{3 + 4 + 11}{3}, \frac{- 5 + 3 - 4}{3}) = (\frac{18}{3}, \frac{- 6}{3})$

$∴$ Centriod of the triangle is (6 , -2).

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