Xét ΔDEF có MN//EF
nên 3/x=4/12=1/3
=>x=9
\(DF=DN+NF=4+8=12\left(cm\right)\)
\(\text{Xét }\Delta DMN\text{ và }\Delta DEF\text{ có:}\)
\(MN//EF\left(gt\right)\)
\(\Rightarrow\dfrac{DN}{DF}=\dfrac{MN}{EF}\left(\text{hệ quả Ta lét}\right)\)
\(\Rightarrow\dfrac{4}{12}=\dfrac{3}{x}\)
\(\Rightarrow x=\dfrac{12.3}{4}=9\left(cm\right)\)