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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?-example-1
User Dhpratik
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1 Answer

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Step-by-step 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:


(BC)/(AC)=(EF)/(DF)
\begin{gathered} Where \\ BC=4cm \\ AC=6cm \\ EF=? \\ DF=18cm \end{gathered}

So that


\begin{gathered} (4)/(6)=(EF)/(18) \\ \\ EF=(18*4)/(6) \\ \\ EF=12 \end{gathered}

The value of the side EF is 12cm

User Jason Hyland
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