1) Find the distance from the Circumcenter to vertex A[br]2) Repeat this process to vertex B and C[br]3) What do you notice about each of the distances?[br]4) What does it mean if a point is equidistant from a given set of points?
Construct a circle from the circumcenter to one of the vertices of the triangle above. This circle is CIRCUMscribed around the triangle. Thus the name Circumcenter.
When you construct a circumcenter, will the circle created from the circumcenter to a vertex ever be inside the triangle?