Centroid of a Triangle

By:

Jonathan Sabo

The CENTROID (G) of a triangle is the common
intersection of the three medians. A median of a triangle is the
segment from a vertex to the midpoint of the opposite side.

Use Geometer's Sketchpad (GSP) to Construct the centroid and explore its location for various shapes of triangles.

First we will use GSP to construct points a,b, and c to construct the triangle.

Now we will find the midpoint of each side of the triangle.

Now
we will construct the 3 medians of the triangle by connecting each of
the midpoints to the opposite vertex of the triangle. The point
of concurrency where the three medians meet is the Centroid of the
Triangle.