Geometry

Question Analysis

The main focus is using the perpendicular bisector of to find the value of . We'll apply the perpendicular bisector theorem to equate the lengths of and .

 

Key Concept Explanation

The perpendicular bisector theorem states that if a point lies on the perpendicular bisector of a line segment, it is equidistant from the endpoints of that line segment. Here, since is the perpendicular bisector of (shown by the right - angle at and equal - length markings on and ), we have .

 

Step-by-Step Solution

1. Set up the equation:

Because according to the perpendicular bisector theorem, we get

Click "Show Answer" to reveal the answer and analysis