Discovering Euler's Line

This example uses a custom toolbar and custom tools for the centroid, circumcenter, and orthocenter to help students discover Euler's line. Euler's line is the line that passes through the centroid, circumcenter, and orthocenter of a triangle. By dragging the vertices of the triangle, students can observe that these three points are always collinear. The core mathematical concepts involved include the centroid, circumcenter, and orthocenter of a triangle. Students can use GeoGebra's custom tools to perform geometric constructions and observe changes in triangle properties. Suitable for middle school and above students to learn triangle geometry.