Geometry

Question Analysis

This question focuses on applying the concept of ratios in similar shapes. The main task is to use the given ratio of corresponding sides and the known side lengths of one triangle to determine the side lengths of the other similar triangle.

Key Concept Explanation

For similar triangles, the ratios of corresponding side lengths are equal. That is, if we have two similar triangles and the ratio of corresponding sides is , then for a side length in one triangle, the corresponding side length in the other triangle satisfies the proportion .

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 cross - multiply to get .

Substitute cm into the equation:

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