All three perpendicular bisectors of the sides of a triangle will intersect at the same point - the circumcenter.
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?
How does the Perpendicular Bisector Theorem, and its converse, help us show that the perpendicular bisectors of a triangle must intersect at the same point?
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?