Euler Line: Collinearity of Circumcenter, Centroid, and Orthocenter

2013-08-27 08:36
This GeoGebra example demonstrates the Euler Line theorem, which states that the circumcenter, centroid, and orthocenter of any triangle are collinear. By constructing a triangle with its circumcenter (O), centroid (G), and orthocenter (H), the applet uses properties of parallelograms and the 1:2 ratio in which the centroid divides each median to visually prove the collinearity of these three sign