Question

triangle abc is similar to triangle def. write a proportion that can be used to find the length of de.

Explanation:

Step1: Recall the property of similar triangles

For similar triangles, the ratios of corresponding sides are equal.

Step2: Identify corresponding sides

In \(\triangle ABC\) and \(\triangle DEF\), \(AB\) corresponds to \(DE\), \(BC\) corresponds to \(EF\).
So the proportion is \(\frac{AB}{DE}=\frac{BC}{EF}\)
Substituting the values \(AB = 5\), \(BC=4\), \(EF = 8\) we get \(\frac{5}{DE}=\frac{4}{8}\)

Answer:

\(\frac{5}{DE}=\frac{4}{8}\)