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10. the figure below shows similar triangles abc and ade. based on the …

Question

  1. the figure below shows similar triangles abc and ade. based on the dimensions shown, what is the length of segment de?

Explanation:

Step1: Identify similarity ratio

Ratio \( k = \frac{AD}{AB} = \frac{12}{14.4} = \frac{5}{6} \)

Step2: Calculate DE using ratio

\( DE = k \times BC = \frac{5}{6} \times 12 = 10 \, \text{cm} \)

Answer:

10 cm