Question

△abc ~ △def
find the value of x.

x = ?

Explanation:

Step1: Use the property of similar triangles

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

Step2: Substitute the known values

We know \(BC = 6\) ft, \(EF=3\) ft, \(AC = 8\) ft and \(DF=x\) ft. Substituting into the ratio \(\frac{6}{3}=\frac{8}{x}\).

Step3: Solve for \(x\)

Cross - multiply: \(6x=3\times8\). Then \(6x = 24\). Divide both sides by 6: \(x=\frac{24}{6}\).

Answer:

\(4\)