Geometry

Question Analysis

The focus is using the perpendicular bisector  of  to find  by equating expressions for  and  based on the relevant theorem.

 

Key Concept Explanation

The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a line segment, it's equidistant from the segment's endpoints. Here, since  is the perpendicular bisector of , we know .

 

Step-by-Step Solution

1. Set up the equation: Given  and , and , we have .

2. Solve for

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