△GHJ∼△CDE

. GH=5
yards, HJ=7.5
yards, CD=9
yards. What is the length of DE¯¯¯¯¯¯¯¯
?

1 answer

By the given information, we have △GHJ∼△CDE, which means that the corresponding sides are proportional.

Let's label the length of DE as x.
Therefore, the length of GH is also x.
Using the given information, we can set up the proportion:

GH/CD = HJ/DE

Substituting the given values:

5/9 = 7.5/x

Cross multiplying:

5x = 9 * 7.5

5x = 67.5

Dividing both sides by 5:

x = 67.5/5

x = 13.5

So, the length of DE is 13.5 yards.
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