Question 76

What are the co-ordinates of the centroid of a triangle, whose vertices are A(-2,5), B(3,-2) and C(5,3)?

Solution

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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