Geometry

Question Analysis

The main focus is applying the Triangle Angle Bisector Theorem. Since  is the angle bisector of  in , we use the proportional relationship of the sides to find the value of .

 

Key Concept Explanation

The Triangle Angle Bisector Theorem states that if a ray bisects an angle of a triangle, it divides the opposite side into segments that are proportional to the other two sides. In , we have .

 

Step - by - Step Solution

1. Identify the given values: , , , .

2. Substitute into the proportion :

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