If you would like to see a write up on how to PROVE that the CENTROID, CIRCUMCENTER and the ORTHOCENTER of a triangle are at a constant distance from one another, CLICK HERE. If you would like to see a GSP Sketch of the proof, CLICK HERE
If you would like to see some other interesting properties of triangles and their centers, CLICK HERE. These can also be viewed using a GSP by clicking HERE.