Question

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

Answer 1

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

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