Question

Find the coordinates of the centroid of the triangle with the given vertices.

X(6,0) Y(2,8) Z(-2,-2)

Answer 1

The coordinates of the centroid of the triangle with the given vertices are (2, 2).

Step-by-step explanation:

To find the centroid of a triangle with given vertices, we can use the formula:

Cx = (x1 + x2 + x3) / 3

Cy = (y1 + y2 + y3) / 3

Plugging in the coordinates of the given vertices:

Cx = (6 + 2 + (-2)) / 3 = 2

Cy = (0 + 8 + (-2)) / 3 = 2

So, the coordinates of the centroid of the triangle are (2, 2).