What are the co-ordinates of the centroid of a triangle, whose vertices are A(-2,5), B(3,-2) and C(5,3)?
Coordinates of centroid of triangle with vertices $$(x_1 , y_1)$$ , $$(x_2 , y_2)$$ and $$(x_3 , y_3)$$ is $$(\frac{x_1 + x_2 + x_3}{3} , \frac{y_1 + y_2 + y_3}{3})$$
Let coordinates of centroid G = $$(x , y)$$
Vertex A(-2,5) B(3,-2) and C(5,3)
=> $$x = \frac{-2 + 3 + 5}{3}$$
=> $$x = \frac{6}{3} = 2$$
Similarly, => $$y = \frac{5 - 2 + 3}{3}$$
=> $$y=\frac{6}{3} =2$$
$$\therefore$$ Coordinates of centroid G = (2,2)
=> Ans - (C)
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