Geometry

Question Analysis

This question focuses on the concept of ratios in similar shapes. The main task is to determine the ratio of corresponding side lengths between two similar triangles using the given lengths of a pair of corresponding sides.

 

Key Concept Explanation

For similar triangles, the ratio of corresponding side lengths is constant. If we have two similar triangles and  is the length of a side in one triangle, and  is the length of the corresponding side in the other triangle, the ratio of corresponding sides is expressed as  or .

 

Step - by - Step Solution

1. We are given that one side length  cm in one triangle and the corresponding side length  cm in the other triangle.

2. To find the ratio of corresponding sides, we write the ratio as . Substituting the given values, we get .

3. Simplify the ratio by dividing both numbers by their greatest common divisor, which is 14. So,

Click "Show Answer" to reveal the answer and analysis