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: If a ray bisects an angle of a triangle, it divides the opposite side into segments proportional to the other two sides. In , we have .

 

Step - by - Step Solution

1. Identify the given values: , , , .

2. Substitute into the proportion