Question

In the similar triangles below, what is the length of EF?

Answer 1

Explanation

Similar triangles are triangles that have the same shape, but their sizes may vary

From the given question, we have that

$\triangle ABC\text{ is similar to }\triangle DEF$

Then, we can take the ratio of the sides:

$\frac{BC}{AC}=\frac{EF}{DF}$$\begin{gathered} Where \\ BC=4cm \\ AC=6cm \\ EF=? \\ DF=18cm \end{gathered}$

So that

$\begin{gathered} \frac{4}{6}=\frac{EF}{18} \\ \\ EF=\frac{18\times4}{6} \\ \\ EF=12 \end{gathered}$

The value of the side EF is 12cm