Question

1. -/1 points

triangles abc and def are similar triangles. use this fact to solve the exercise. round to the nearest tenth.
find side de. let ( j = 3 ), ( k = 7 ), and ( l = 11 ).
cm
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Explanation:

Step1: Use the property of similar triangles

Since \(\triangle ABC\sim\triangle DEF\), the ratios of corresponding sides are equal. That is \(\frac{AB}{DE}=\frac{AC}{DF}\).

We know \(AB = J = 3\), \(AC=K = 7\), \(DF = L=11\), and let \(DE=x\). Then the proportion is \(\frac{3}{x}=\frac{7}{11}\).

Step2: Solve the proportion for \(x\)

Cross - multiply: \(7x=3\times11\). So \(7x = 33\). Then \(x=\frac{33}{7}\approx4.7\).

Answer:

\(4.7\)