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In triangle $ABC$, points $D$ and $F$ are on $\overline{AB},$ and $E$ is on $\overline{AC}$ such that $\overline{DE}\parallel \overline{BC}$ and $\overline{EF}\parallel \overline{CD}$. If $AF = 9$ and $DF = 3$, then what is $BD$?

 Mar 27, 2022
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Have you drawn the picture?

 

If you have then you will see that there are 2 pairs of similar triangles.

 

You can solve the ratios simultaneously to get your answer.  This  part is actually very easy.

 

If you want to interact with me then you are encouraged to do so.

 Mar 28, 2022
edited by Melody  Mar 28, 2022

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