Leonhard Euler is one of the most famous mathematicians in history. Many of his theories are still used today. He developed a theory with the relationship between the centroid, orthocenter, and cricumcenter of triangles. The centroid is the intersection of the median, the orthocenter is the point of intersection of the three heights of a triangle, and the circumcenter is the point of intersection of the perpendicular bisectors. In this activity, you will be learning about the centroid, orthocenter, and circumcenter, and trying to figure out what his theory was. Information used from http://www.vitutor.com/geometry/plane/orthocenter.html
Use the tools provided under the toolbar to figure out the centroid, circumcenter, and orthocenter. How do the centroid, circumcenter, and orthocenter relate? Do this apply to all triangles? Test a variety of triangles, including right, scalene, equilateral, and isoceles.