Geometry

Question Analysis

This question focuses on applying the concept of ratios in similar shapes. Given that , the main task is to find the value 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 (which is ).

 

Step - by - Step Solution

1. Set up the proportion using corresponding sides:

First, find , ,

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