[tex]\it \left.\begin{aligned} \it \dfrac{AB}{3}=\dfrac{MN}{4} \Rightarrow \dfrac{AB}{MN}=\dfrac{3}{4}\\ \\ \\ \angle{B}\equiv\angle N\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ \\ \\ \it \dfrac{BC}{18}=\dfrac{NP}{24} \Rightarrow \dfrac{BC}{NP}=\dfrac{\ 18^{(6}}{24}=\dfrac{3}{4} \end{aligned}\right\} \stackrel{LUL}{\Longrightarrow}\ \Delta ABC \sim \Delta MNP[/tex]
