Geometry

Question Analysis

This question applies the Triangle Perpendicular Bisector Concurrence Theorem. The core is to use the property of the point where perpendicular bisectors meet (circumcenter), which is equidistant from the triangle's vertices.

 

Key Concept Explanation

The point where the perpendicular bisectors of a triangle's sides intersect is the circumcenter. A circumcenter is equidistant from all vertices of the triangle. That is, for  with circumcenter , .

 

Step - by - Step Solution

1. Since  is the circumcenter (where perpendicular bisectors intersect), by its property, the distances from  to vertices ,

Click "Show Answer" to reveal the answer and analysis