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.

Acute Triangle.



Equilateral Triangle.


Obtuse Triangle.















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