The corresponding legs of two similar triangles are 6 inches and 18 inches.

The corresponding legs of two similar triangles are 6 inches and 18 inches. find the hypotenuse of the smaller triangle if the hypotenuse of the larger triangle is 27dm

Let us determine how many times the leg of the larger right-angled triangle exceeds the corresponding leg of the smaller right-angled triangle, when from the condition of the task we know that the length of the first is 18 decimeters, while the length of the second is 6 decimeters:

18: 6 = 3.

Let us determine how many decimeters the hypotenuse of the smaller triangle will be expressed, when from the condition of the task we know that the hypotenuse of the larger one is 27 centimeters:

27: 3 = 9.

Answer: 9 cm.