Question

find the coordinates of the centroid of the triangle with the given vertices. D(-4, -2), E(1, 0), F(9, 5)

Answer 1

`(x, y) = (2, 1)`

Explanation:

Given vertices of a triangle:

`(x_1, y_1) = (-4, -2)`

`(x_2, y_2) = (1, 0)`

`(x_3, y_3) = (9, 5)`

Using the centroid formula:

`(x, y) = ((x_1 + x_2 + x_3)/(3), (y_1 + y_2 + y_3)/(3))`

Plug in the values into the formula

`(x, y) = ((-4 + 1 + 9)/(3), (-2 + 0 + 5)/(3))`

`(x, y) = ((6)/(3), (3)/(3))`

`(x, y) = (2, 1)`