Geometry

Question Analysis

This question requires applying the Triangle Angle Bisector Theorem. Since  bisects , we can set up a proportion using the lengths of the sides of  to solve for .

 

Key Concept Explanation

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

 

Step - by - Step Solution

1. Identify the given side lengths: , , , and .

2. Substitute these values into the proportion

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