Euler's Circles

The [b]circumcenter[/b] is found at the intersection of a triangle's three sides' perpendicular bisectors. The[b] orthocenter[/b] is found at the intersection of the three lines formed by connecting a perpendicular to its opposite angle's vertex. The [b]centroid[/b] is found by connecting the midpoints to their opposite vertices. Create any triangle and use the Orthocenter, Circumcenter, and Centroid tools to find the various centers of a triangle. Move the corners of the triangle and observe how the centers move.

How do these centers relate to one another? Visually represent your answer.