Question

The three medians of △A(2,2)B(8,2)C(4,7) meet at a single point. What is the point of the centroid? Express all results in fractions. (1 point) centroid= (,)

Answer 1

To find the centroid, we need to find the average of the x-coordinates and the average of the y-coordinates of the three vertices.

The x-coordinate of the centroid is the average of the x-coordinates of the vertices:

(2 + 8 + 4)/3 = 14/3

The y-coordinate of the centroid is the average of the y-coordinates of the vertices:

(2 + 2 + 7)/3 = 11/3

Therefore, the coordinates of the centroid are (14/3, 11/3).