| In the given figure, if \[PQ\left\| BC \right.\]. Find AQ. |
 |
A) \[\text{3}.\text{5 cm}\]
B) \[4.\text{5 cm}\]
C) \[\text{9 cm}\]
D) \[\text{9}\text{.5 cm}\]
Correct Answer: B
Solution :
| [b] In \[\Delta ABC,\] we have |
| \[PQ||BC\] |
| \[\Rightarrow \,\,\,\,\,\frac{AQ}{QC}=\frac{AP}{PB}\] (By Thales theorem) |
| \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{AQ}{3}=\frac{3}{2}\,\,\,\,\,\,\Rightarrow \,\,\,AQ=\frac{9}{2}=4.5\,cm\] |
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