Given data:
The given triangles.
The expression for the similar traingle is,
[tex]\begin{gathered} \frac{AB}{DE}=\frac{AC}{DF} \\ \frac{AB}{AC}=\frac{DE}{DF} \\ \frac{6}{8}=\frac{DE}{DF} \\ \frac{3}{4}=\frac{DE}{DF} \\ \angle A\approx\angle D \end{gathered}[/tex]
Based on above equation when DE is 9 and DF is 12, their ratio is 3:4.
Thus, the second option is correct.
