Geometry

Question Analysis

This question is about applying the Triangle Perpendicular Bisector Concurrence Theorem. The core is to use 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, the distances from  to vertices ,

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