Triangle GHJ is similar to triangle CDE. GH= 5 yards, HJ=7.5 yards and CD=9 yards what is the length of DE

1 answer

To find the length of DE in triangle CDE, we need to determine the scale factor between triangle GHJ and triangle CDE.

In similar triangles, corresponding sides are proportional to each other. Therefore, we can set up the following ratio:

GH / CD = HJ / DE

Substituting the given values, we have:

5 / 9 = 7.5 / DE

To solve for DE, we can cross multiply:

5 * DE = 9 * 7.5

DE = (9 * 7.5) / 5

DE ≈ 13.5

Therefore, the length of DE is approximately 13.5 yards.
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