In the given figure, in $ riangle ABC$, $DE \parallel BC$. If $AD = 2.4$ cm, $DB = 4$ cm and $AE = 2$ cm, then the length of $AC$ is:

Question

In the given figure, in $	riangle ABC$, $DE \parallel BC$. If $AD = 2.4$ cm, $DB = 4$ cm and $AE = 2$ cm, then the length of $AC$ is:

Accepted Answer

Step 1: By BPT, $\frac{AD}{AB} = \frac{AE}{AC} \Rightarrow \frac{2.4}{6.4} = \frac{2}{AC} \Rightarrow AC = \frac{2 	imes 6.4}{2.4} = \frac{16}{3}$ cm

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