Question

1. triangles abc and def are similar. find e. 10 11 12 9

Explanation:

Step1: Set up proportion

Since triangles \(ABC\) and \(DEF\) are similar, the ratios of corresponding sides are equal.
\(\frac{AB}{DE}=\frac{AC}{DF}\)
Given \(AB = 4\mathrm{cm}\), \(DE = 8\mathrm{cm}\), \(AC = 5\mathrm{cm}\), and \(DF=e\).
\(\frac{4}{8}=\frac{5}{e}\)

Step2: Solve for \(e\)

Cross - multiply: \(4e=8\times5\)
\(4e = 40\)
Divide both sides by 4: \(e=\frac{40}{4}\)

Answer:

\(10\)