Geometry

Question Analysis

This question focuses on the concept of ratios in similar shapes. Given that , the main task is to find the value of  (the length of ) by using the property that the ratios of corresponding side lengths in similar triangles are equal.

 

Key Concept Explanation

For similar triangles, if , then . We can use these equal - ratio relationships to set up an equation and solve for the unknown side length.

 

Step - by - Step Solution

1. Set up the proportion using corresponding sides:

We know that . Since ,