Each week, marcia travels to the office where she works, the supermarket, and a local fitness center. the three locations represent the vertices of a triangle. marcia wants to move to an apartment that is equidistant from these three places. where should her new apartment be located?

Given is :

The three locations where Marcia travels represent the vertices of a triangle.

Marcia wants to move to an apartment that is equidistant from these three places. She must find an apartment that is at the circumcenter of the triangle.

The circumcenter of a triangle is a point in the plane, which is equidistant from the three vertices of the triangle.