Geometry

Question Analysis

This question focuses on applying the concept of ratios in similar shapes. Given the ratio of corresponding sides between two similar triangles and the side lengths of one triangle, the goal is to determine the side lengths of the other triangle.

Key Concept Explanation

For similar triangles, the ratios of corresponding side lengths are equal. If the ratio of corresponding sides of two similar triangles is , and a side length of one triangle is , the corresponding side length of the other triangle satisfies .

Step - by - Step Solution

1. Let the base of the first triangle cm and side cm, with the ratio of corresponding sides .

For the base of the second triangle :

Using the ratio , we can solve for by cross - multiplying. We get .

Substitute cm into the equation:

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