7. Triangle ABC is similar to triangle DBE. AC : DE is 3:2 and the length of AB is 42. What is the length of DB? Show or explain how you found your answer.

The question states that the ratio from AC : DE is 3:2 which means, essentially, that Triangle DBE is 2/3 of triangle ABC's size due to the fact that they are comparing the heights of AC and DE and stating that AC is 1/3 taller than DE. So if DBE is 2/3 of the size of ABC, that means that you would take the overall length of AB and divide that by three, and then multiply that sum by 2 in order to get the length of DB, which is 28.

7. Triangle ABC is similar to triangle DBE. AC : DE is 3:2 and the length of AB is 42. What is the length of DB? Show or explain how you found your answer. ​

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7. Triangle ABC is similar to triangle DBE. AC : DE is 3:2 and the length of AB is 42. What is the length of DB? Show or explain how you found your answer.