Geometry

Question Analysis

This question is about applying the Triangle Angle Bisector Theorem. Given that is the angle bisector of in , we need to find the correct proportion among the given options.

 

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 , since bisects , the segments of side ( and ) are proportional to sides and .

 

Step - by - Step Solution

1. Analyze each option based on the Triangle Angle Bisector Theorem:

For the option , this follows the Triangle Angle Bisector Theorem. The ratio of the segments of the side opposite the bisected angle ( and

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