In $ riangle ABC$, $PQ \parallel BC$. If $PB = 6$ cm, $AP = 4$ cm, $AQ = 8$ cm, find the length of AC.

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Question

In $	riangle ABC$, $PQ \parallel BC$. If $PB = 6$ cm, $AP = 4$ cm, $AQ = 8$ cm, find the length of AC.

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Accepted Answer

Step 1: By BPT: $\frac{AP}{PB} = \frac{AQ}{QC} \Rightarrow \frac{4}{6} = \frac{8}{QC} \Rightarrow QC = 12$ cm. $AC = AQ + QC = 8 + 12 = 20$ cm

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