Answered

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

In The Similar Triangles Below What Is The Length Of EF class=

Sagot :

Explanation

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

From the given question, we have that

[tex]\triangle ABC\text{ is similar to }\triangle DEF[/tex]

Then, we can take the ratio of the sides:

[tex]\frac{BC}{AC}=\frac{EF}{DF}[/tex][tex]\begin{gathered} Where \\ BC=4cm \\ AC=6cm \\ EF=? \\ DF=18cm \end{gathered}[/tex]

So that

[tex]\begin{gathered} \frac{4}{6}=\frac{EF}{18} \\ \\ EF=\frac{18\times4}{6} \\ \\ EF=12 \end{gathered}[/tex]

The value of the side EF is 12cm

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