Geometry

Question Analysis

The main focus is applying the perpendicular bisector theorem to find . Since  is the perpendicular bisector of , we can equate the expressions for  and .

 

Key Concept Explanation

The perpendicular bisector theorem states that a point on the perpendicular bisector of a line segment is equidistant from the segment's endpoints. Here,  because of the perpendicular bisector .

 

Step-by-Step Solution

1. Set up the equation:

Given  and , and , we have

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