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In the given figure, $\Delta AHK \sim \Delta ABC$. If $AK = 8$ cm, $BC = 3.2$ cm and $HK = 6.4$ cm, then find the length of AC.
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$\therefore \Delta AHK \sim \Delta ABC$ (given)
$$\begin{aligned}& \frac{HK}{BC} = \frac{AK}{AC} \\ & \frac{6.4}{3.2} = \frac{8.0}{AC} \\ & \Rightarrow AC = 4\end{aligned}$$ cm
$$\begin{aligned}& \frac{HK}{BC} = \frac{AK}{AC} \\ & \frac{6.4}{3.2} = \frac{8.0}{AC} \\ & \Rightarrow AC = 4\end{aligned}$$ cm