A standard topic in a College Algebra course is to find the coordinates of the midpoint of a line segment connecting two points. In the early twentieth century  and , in a few texts, this idea was extended to find the coordinates of a point that divides a line segment in any given ratio. In this paper, we present a neat application of this extended idea, and further use it to find the co-ordinates of the centroid of a triangle with vertices A(x1, y1), B(x2, y2) and C(x3, y3).
Goel, Sudhir and Patricia Bezona
"Been There Done That Can We Connect?,"
Georgia Journal of Science, Vol. 71, No. 2, Article 8.
Available at: http://digitalcommons.gaacademy.org/gjs/vol71/iss2/8