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  • Let A (4, 2), B(6, 5) and C(1, 4) be the vertices of D ABC. If A(x_1, y_1), B(x_2, y_2) and C(x_3, y_3) are the vertices of D ABC, find the coordinates of the centroid of the triangle.

7.(v)   Let A (4, 2), B(6, 5) and C(1, 4) be the vertices of \triangle ABC. If A(x_1, y_1), B(x_2, y_2)\ and\ C(x_3, y_3)  are  the vertices   of  \triangle ABC, find the coordinates of the centroid of the triangle.

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From the figure,

Coordinates of centroid of a triangle 

= \left ( \frac{x_{1}+x_{2}+x_{3}}{3}, \frac{y_{1}+y_{2}+y_{3}}{3} \right )

= \left ( \frac{4+6+1}{3}, \frac{2+5+4}{3} \right ) = (\frac{11}{3},\frac{11}{3})

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Divya Prakash Singh

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