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1. What are the coordinates of the centroid of a triangle, whose vertices are A(-2,5), B(4,4) and C(7,-3)?
(A): (4,3)
(B): (1,0)
(C): (3,3)
(D): (3,2)
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By: anil on 05 May 2019 02.17 am
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) and Vertex B(4,4) and C = (7,-3) => $$x = frac{-2 + 4 + 7}{3}$$ => $$x = frac{9}{3} = 3$$ Similarly, => $$y = frac{5 + 4 - 3}{3}$$ => $$y = frac{6}{3} = 2$$ $$ herefore$$ Coordinates of centroid G = (3,2) => Ans - (D)
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SSC CHSL 10 Jan 2017 Afternoon Shift
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