Find the centroid of the triangle with vertic | vedclass

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Question

(A) The coordinates of the vertices of the triangle are $(x_1, y_1) = (1, 2)$,$(x_2, y_2) = (3, 3)$,and $(x_3, y_3) = (5, 1)$.The formula for the cent

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($3$,$2$)

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(A) The coordinates of the vertices of the triangle are $(x_1, y_1) = (1, 2)$,$(x_2, y_2) = (3, 3)$,and $(x_3, y_3) = (5, 1)$.The formula for the centroid $(G)$ of a triangle with vertices $(x_1, y_1), (x_2, y_2)$,and $(x_3, y_3)$ is given by:$G = \left( \frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3} \right)$Substituting the given values:$G = \left( \frac{1 + 3 + 5}{3}, \frac{2 + 3 + 1}{3} \right)$$G = \left( \frac{9}{3}, \frac{6}{3} \right)$$G = (3, 2)$Thus,the centroid of the triangle is $(3, 2)$.

Find the centroid of the triangle with vertices $(1,2), (3,3)$ and $(5,1)$.

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