Geometry

Question Analysis

This question focuses on applying the SSS (Side - Side - Side) Triangle Similarity Theorem. Given , the main task is to find the missing side length (assumed to be ) by leveraging the property that the ratios of corresponding side lengths in similar triangles are equal.

 

Key Concept Explanation

The SSS Triangle Similarity Theorem states that if the ratios of the lengths of the corresponding sides of two triangles are equal, then the two triangles are similar. For similar triangles, we can use these equal side - length ratios to determine unknown side lengths.

 

Step - by - Step Solution

1. Identify corresponding sides and set up the ratio equation:

Let the missing side length . In and , we know , , and .

Since , the ratio of corresponding sides gives