Where do the points of concurrency of certain types of triangles lie?

Question

Revolt · Accepted Answer

The circumcenter of an obtuse triangle lies the triangle.:

outside

The incenter of a right triangle lies the triangle.:

inside

The point of concurrency of the angle bisectors of an acute triangle lies the triangle.:

inside

The point of concurrency that is equidistant from the vertices of a right triangle lies the triangle.:

on

Incenter and Circumcenter