Question

1. -/1 pointstriangles 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

Explanation:

Step1: Use the property of similar triangles

For similar triangles \(ABC\) and \(DEF\), the ratios of corresponding sides are equal. That is \(\frac{AB}{DE}=\frac{AC}{DF}\). Here \(AB = J\), \(AC=K\), \(DF = L\), and we need to find \(DE\). Let \(DE=x\). So \(\frac{J}{x}=\frac{K}{L}\).

Step2: Substitute the given values

Substitute \(J = 3\), \(K = 7\), and \(L = 11\) into the equation \(\frac{3}{x}=\frac{7}{11}\). Cross - multiply gives \(7x=3\times11\).

Step3: Solve for \(x\)

We have \(7x = 33\), then \(x=\frac{33}{7}\approx4.7\).

Answer:

\(4.7\)