Geometry

Question Analysis

This question involves the Converse of the Side - Splitter Theorem. The main focus is to check if the line  divides the sides of  proportionally when  to determine if .

 

Key Concept Explanation

The Converse of the Side - Splitter Theorem states that if a line divides two sides of a triangle proportionally, then the line is parallel to the third side. In , we need to check if . First, we find , and we need to calculate  when , and .

 

Step - by - Step Solution

1. Substitute  into the expression for :

Given , when , .

Then