Geometry

Question Analysis  

The main focus is applying the Triangle Angle Bisector Theorem to find  using the proportional relationship created by the angle bisector  in .  

 

Key Concept Explanation  

The Triangle Angle Bisector Theorem states: If a ray bisects an angle of a triangle, it divides the opposite side into segments proportional to the adjacent sides. In , since  bisects , we have:  

  

 

Step-by-Step Solution  

1. Identify given values:  

, , , .  

2. Set up the proportion using the theorem:  

  

3. Simplify the right-hand side:  

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