Examining the Centroid of a Triangle.

Problem 1 states the following:

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.

Below are three different constructions for three different types of triangles.

Equilateral Triangle.

Obtuse Triangle.