Write-up #4 Problem 1 - Kanita DuCloux


Make a GSP script for the CENTROID (G) of a triangle - 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. Explore its location for various shapes of triangles.

The centroid is always inside of the triangle.



The ratio of the lengths of the vertex to the centroid and the length of the side is always 2/3 = 0.667.

Click on 'centroid' below and give three points and GSP script will find the centoid of the triangle formed by the three points. Choose any vertex and move it around to observe the ratios. Move the centroid, G, to see what happens.


Click on animation to see an animation of a centroid and the relationship between the ratios mentioned above.