The coordinates of the centroid of the triang | vedclass

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Question

(A) The coordinates of the centroid $(G)$ of a triangle with vertices $(x_1, y_1)$,$(x_2, y_2)$,and $(x_3, y_3)$ are given by the formula:$G = \left(

Vedclass · Accepted Answer

$(1, 4)$

Vedclass · Answer

(A) The coordinates of the centroid $(G)$ of a triangle with vertices $(x_1, y_1)$,$(x_2, y_2)$,and $(x_3, y_3)$ are given by the formula:$G = \left( \frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3} \right)$Given vertices are $(x_1, y_1) = (2, 3)$,$(x_2, y_2) = (4, 7)$,and $(x_3, y_3) = (-3, 2)$.Substituting these values into the formula:$x = \frac{2 + 4 + (-3)}{3} = \frac{3}{3} = 1$$y = \frac{3 + 7 + 2}{3} = \frac{12}{3} = 4$Therefore,the coordinates of the centroid are $(1, 4)$.

The coordinates of the centroid of the triangle with vertices $(2, 3)$,$(4, 7)$,and $(-3, 2)$ are:

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