Geometry

Question Analysis

This question focuses on the Perimeters of Similar Shapes. The main task is to use the property that for similar triangles, the ratio of their perimeters is equal to the ratio of their corresponding side lengths to find the required ratio.

Key Concept Explanation

For similar triangles, the ratio of perimeters is the same as the ratio of corresponding side lengths. This is because perimeter is a linear measurement, and similar triangles maintain a consistent proportionality for linear dimensions.

Step - by - Step Solution

1. Identify the corresponding sides. We have side  in the left triangle corresponding to side  in the right triangle, and side  in the left triangle corresponding to side  in the right triangle.

2. Calculate the ratio of corresponding side lengths. Using the pair  and :

Click "Show Answer" to reveal the answer and analysis