In the given figure, $ riangle AHK \sim riangle ABC$. If $AK = 8$ cm, $BC = 3.2$ cm and $HK = 6.4$ cm, then find the length of $AC$.

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Question

In the given figure, $	riangle AHK \sim 	riangle ABC$. If $AK = 8$ cm, $BC = 3.2$ cm and $HK = 6.4$ cm, then find the length of $AC$.

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Accepted Answer

Step 1: $	riangle AHK \sim 	riangle ABC \Rightarrow \frac{HK}{BC} = \frac{AK}{AC}$
Step 2: $\frac{6.4}{3.2} = \frac{8}{AC} \Rightarrow AC = \frac{8 	imes 3.2}{6.4} = 4$ cm

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