Geometry

Question Analysis

This question focuses on determining the ratio of corresponding sides in similar right - angled triangles, using the lengths of their hypotenuses as a key reference.

Key Concept Explanation

For similar triangles, the ratios of all corresponding side lengths are equal. If  and  are the lengths of corresponding sides in two similar triangles, the ratio  (or ) is consistent across all pairs of corresponding sides.

Step - by - Step Solution

1. Given the hypotenuse of the first triangle  cm and the second triangle's hypotenuse  cm.

2. Write the initial ratio as