The triangle with vertices D(0, 1) , E(2, 6) , and F(7, 2) will have a centroid that has coordinates of: (3, 3).
Given that the coordinates of the vertices of a triangle are:
D(0, 1)
E(2, 6)
F(7, 2)
The coordinates of the centroid of triangle DEF can be calculated using the following formula:
[tex](\frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3} )[/tex]
[tex]D(0, 1) = (x_1, y_1)\\\\E(2, 6) = (x_2, y_2)\\\\F(7, 2) = (x_3, y_3)[/tex]
[tex](\frac{0 + 2 + 7}{3}, \frac{1 + 6 + 2}{3} )\\\\(\frac{9}{3}, \frac{9}{3})\\\\(3, 3)[/tex]
Therefore, the triangle with vertices D(0, 1) , E(2, 6) , and F(7, 2) will have a centroid that has coordinates of: (3, 3).
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