Chapter: Co-ordinate Geometry· Mathematics Part 2 (Geometry)

The co-ordinates of the centroid of the triangle with vertices (2, 5), (–1, 4) and (5, 0) are ____ .

A. (2, 3)

B. (3, 2)

C. (6, 9)

D. (2, 9)

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Answer: A. (2, 3)

Answer: (A) (2, 3)

Centroid \(= \left(\dfrac{x_1 + x_2 + x_3}{3}, \dfrac{y_1 + y_2 + y_3}{3}\right) = \left(\dfrac{2 - 1 + 5}{3}, \dfrac{5 + 4 + 0}{3}\right) = \left(\dfrac{6}{3}, \dfrac{9}{3}\right) = (2, 3)\).

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The co-ordinates of the centroid of the triangle with vertices (2, 5), (–1, 4) and (5, 0) are ____ .

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