All three [b]perpendicular bisectors[/b] of the sides of a triangle will intersect at the same point - the [b]circumcenter[/b].[br][br]The circle that that contains all three vertices of a triangles is called the [b]circumcircle [/b]or [b]circumscribed circle.[/b][br][br]Move the points of the triangle to see how the circumcenter changes.
How does the circumcenter change as the triangle changes? What can you predict about the location of the circumcenter based on the type of triangle?[br][br]-When is the circumcenter on the triangle? [br]-When is the circumcenter inside the triangle?[br]-When is the circumcenter outside the triangle?
The circumcenter is the center of the circle that circumscribes the triangle. How would you describe, in words, the length of the radius of the circle that circumscribes a triangle?