Geometry

Question Analysis

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

 

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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