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Question

The centroid of the triangle with vertices (2,6), (-5,6) and (9,3) is
(2,-3)
(2,5)
(-2,3)
(-2,-3)

A

(2,-3)

B

(2,5)

C

(-2,3)

D

(-2,-3)

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Solution

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$G = (\frac{x_{1} + x_{2} + x_{3}}{3}, \frac{y_{1} + y_{2} + y_{3}}{3})$
$= (\frac{2 - 5 + 9}{3}, \frac{6 + 6 + 6}{3}) = (2, 5)$

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