Geometry

Question Analysis

This question involves applying the Angle Bisector Equidistant Theorem. The main focus is to use the properties of the angle bisector shown in the figure to find the length of .

 

Key Concept Explanation

The Angle Bisector Equidistant Theorem states that a point on the angle bisector of an angle is equidistant from the two sides of the angle.

 

Step - by - Step Solution

1. Observe that , so is the angle bisector of .

2. and are the distances from point (a point on the angle bisector ) to the two sides and respectively, and ,

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