What is a tricenter?

A tricenter is a point of concurrency for the three perpendicular bisectors of the sides of a triangle. It is also known as the circumcenter, as it serves as the center of the circumcircle, the circle that passes through all three vertices of the triangle. The location of the tricenter varies depending on the type of triangle: it lies inside for acute triangles, on the hypotenuse for right triangles, and outside for obtuse triangles.