Geometry

Question Analysis

This question is about applying the Triangle Perpendicular Bisector Concurrence Theorem. The key is to utilize the property of the circumcenter, which is the intersection point of the perpendicular bisectors of a triangle's sides.

 

Key Concept Explanation

The circumcenter of a triangle is equidistant from all vertices of the triangle. That is, if  is the circumcenter of , then .

 

Step - by - Step Solution

1. Since  is the circumcenter, by the property of the circumcenter, we know that the distances from  to the vertices ,