Question

the two triangles are similar. solve for de.

Explanation:

Step1: Set up proportion

Since the triangles are similar, \(\frac{AB}{BC}=\frac{DE}{EF}\). Substitute \(AB = 14\), \(BC = 8\), \(EF = 6\). So \(\frac{14}{8}=\frac{DE}{6}\).

Step2: Solve for \(DE\)

Cross - multiply: \(8\times DE=14\times6\). Then \(8DE = 84\). Divide both sides by \(8\): \(DE=\frac{84}{8}=\frac{21}{2}=10.5\).

Answer:

\(10.5\)