Final answer:
The coordinates of the centroid are (3, 3).
Step-by-step explanation:
To find the coordinates of the centroid of a triangle, we can use the formula:
Centroid = ((x1 + x2 + x3)/3 , (y1 + y2 + y3)/3)
Substituting the x and y coordinates of D(0, 1), E(2, 6), and F(7, 2) into the formula:
Centroid = ((0 + 2 + 7)/3 , (1 + 6 + 2)/3)
Centroid = (9/3 , 9/3)
Centroid = (3 , 3)
Learn more about Finding centroid of a triangle