113k views
1 vote
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. ​

7. Triangle ABC is similar to triangle DBE. AC : DE is 3:2 and the length of AB is-example-1

2 Answers

4 votes

Answer:The Length of DB is 28.

Explanation:

User Thexande
by
8.4k points
5 votes

Answer:

The Length of DB is 28.

Explanation:

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.

User Excellent
by
7.7k points