The coordinates of the centroid of a triangle | vedclass

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Question

(A) The formula for the coordinates of the centroid of a triangle with vertices $(x_1, y_1)$,$(x_2, y_2)$,and $(x_3, y_3)$ is given by:Centroid $= \le

Vedclass · Accepted Answer

$(4, 3)$

Vedclass · Answer

(A) The formula for the coordinates of the centroid of a triangle with vertices $(x_1, y_1)$,$(x_2, y_2)$,and $(x_3, y_3)$ is given by:Centroid $= \left(\frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3}\right)$Given vertices are $A(3, 2)$,$B(7, 5)$,and $C(2, 2)$.Substituting the values into the formula:Centroid $= \left(\frac{3 + 7 + 2}{3}, \frac{2 + 5 + 2}{3}\right)$Centroid $= \left(\frac{12}{3}, \frac{9}{3}\right)$Centroid $= (4, 3)$

The coordinates of the centroid of a triangle having vertices $A(3, 2)$,$B(7, 5)$,and $C(2, 2)$ are:

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