The perimeters of two similar triangles are $24$ cm. and $18$ cm. respectively. If one side of first triangle is $8$ cm., what is the corresponding side of the other triangle.

For similar triangles, the ratio of corresponding sides is equal to the ratio of their perimeters. We set up the proportion 8 divided by the unknown side equals 24 divided by 18. Solving this gives the unknown side as (8 multiplied by 18) divided by 24, which equals 6 cm.

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