The three perpendicular bisectors are shown (in green) in the triangle.The intersection of the perpendicular bisectors is called the [b]circumcenter[/b].
The length segments from the circumcenter to the vertices is shown. As you change the shape of the triangle, what do you notice about the lengths of those segments?
Construct a circle centered at the circumcenter with the radius to a vertex. Drag the triangle. What do you notice about the circle?