Geometry

Question Analysis

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

 

Key Concept Explanation

For two similar triangles, the ratios of their corresponding side lengths are equal. That is, if , then . We can use this property 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 . Given , ,

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