Question

triangles abc and def are similar. type the answers in the boxes below. a. what is the length of segment de? un

Explanation:

Step1: Set up the proportion

Since triangles \(ABC\) and \(DEF\) are similar, the ratios of their corresponding sides are equal. So, \(\frac{AB}{DE}=\frac{BC}{EF}\).

Step2: Substitute the known values

We know \(AB = 2\), \(BC = 4\), and \(EF=2.4\). Substituting into the proportion \(\frac{2}{DE}=\frac{4}{2.4}\).

Step3: Cross - multiply

Cross - multiplying gives \(4\times DE=2\times2.4\).

Step4: Solve for \(DE\)

First, calculate \(2\times2.4 = 4.8\). Then, \(DE=\frac{4.8}{4}\).

Answer:

\(1.2\)