Geometry

Question Analysis

The task is to find the length of in where . We'll apply the Side - splitter theorem corollary, using the given side lengths , , and to set up a proportion and solve for the unknown side.

 

Key Concept Explanation

The Side - splitter theorem corollary states that when a line is parallel to one side of a triangle and intersects the other two sides, it divides those sides proportionally. So, in with , we have , and equivalently .

 

Step - by - Step Solution

1. First, note the known values: , , and .

2. Set up the proportion based on the Side - splitter theorem corollary:

Click "Show Answer" to reveal the answer and analysis