| In the given figure,\[\Delta ACB\tilde{\ }\Delta APQ\]. If \[AB=6cm,\]\[BC=8cm\]and \[PQ=4cm,\]then \[AQ\]is equal to: |
 |
A) \[2\,cm\]
B) \[2.5\,cm\]
C) \[3\,cm\]
D) \[3.5\,cm\]
Correct Answer: C
Solution :
| [c] \[\Delta ACB\tilde{\ }\Delta APQ\] |
| \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\frac{BC}{PQ}=\frac{AB}{AQ}\,\,\,\,\,\,\,\,\,\,\Rightarrow \,\,\,\,\,\,\,\frac{8}{4}=\frac{6}{AQ}\] |
| \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,AQ=\frac{6\times 4}{8}\,\,\,\,\,\,\,\,\,\Rightarrow \,\,\,\,\,AQ=3\,cm\] |
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