Geometry

Question Analysis

The main focus is applying the Triangle Angle Bisector Theorem. Since  is the angle bisector of  in , we use the theorem to find the length of  based on the known side lengths.

 

Key Concept Explanation

The Triangle Angle Bisector Theorem: If a line bisects an angle of a triangle, it divides the opposite side into segments proportional to the other two sides. In , this means .

 

Step - by - Step Solution

1. Identify the given values: , ,

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