Four Centers of a Triangle with Euler Line by: Aubrey

**Basic Four Centers of a Triangle with Euler Line**

To create the triangle, left click once and drag to create the base in any desired direction, then move the curser in any direction to create the peak of the triangle. You have now created the four centers of triangle. You can also play with the one I have already created to see what happens to the triangle as you move a point around. Point *H* represents the orthocenter, *G* represents the centroid, *C* represents the circumcenter and *I* represents the incenter of the triangle ABC. Move point A, B, or C and notice how the size of the triangle changes. As the size changes notice how each center reacts and which ones remain on the line. Three of the four will always be on the line...