Question

In Exercises 15-18, find the coordinates of the centroid of the triangle with the given vertices. (See Example 2.) 15. A(2,3), B(8,1), C(5,7)​

Answer 1

9514 1404 393

Answer:

(5, 3 2/3)

Explanation:

The centroid coordinates are the average of the vertex coordinates.

(A+B+C)/3 = ((2, 3) +(8, 1) +(5, 7))/3 = (2+8+5, 3+1+7)/3 = (15, 11)/3

The centroid is (5, 3 2/3).

_____

The graph shows the intersection of the medians. It is the centroid, (5, 3 2/3), as we calculated.