Geometry

Question Analysis

This question is based on the Triangle Perpendicular Bisector Concurrence Theorem. The core is to leverage the property of the circumcenter, which is the intersection 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 means if  is the circumcenter of , then .

 

Step - by - Step Solution

1. Given that  is the circumcenter, by the property of the circumcenter, the distances from  to vertices ,

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