In the given figure, $PQ \parallel BC$. If $\frac{AP}{PB} = \frac{4}{13}$ and $AC = 20.4$ cm, then the length of $AQ$ is:

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In the given figure, $PQ \parallel BC$. If $\frac{AP}{PB} = \frac{4}{13}$ and $AC = 20.4$ cm, then the length of $AQ$ is:

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Accepted Answer

Step 1: By BPT, $\frac{AP}{PB} = \frac{AQ}{QC} = \frac{4}{13}$. So $\frac{AQ}{AC} = \frac{4}{4+13} = \frac{4}{17}$. $AQ = \frac{4}{17} 	imes 20.4 = 4.8$ cm.

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