Geometry

Question Analysis

The main focus is using the properties related to the perpendicular bisector (suggested by the right - angle and equal lengths) to find the length of . The equal lengths  and the perpendicular at  imply a connection to perpendicular bisector concepts.

 

Key Concept Explanation

A perpendicular bisector of a line segment is a line that is perpendicular to the segment and divides it into two equal parts. If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. Here, we assume that  is the perpendicular bisector of  based on the given information.

 

Step - by - Step Solution

1. Since  and , we can assume that

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