In the given figure, \[\Delta ABC\tilde{\ }\Delta PQR\]. If \[\text{BC}=\text{5 cm}\] and \[\text{QR}=\text{3cm},\]then the ratio of areas of \[\Delta ABC\]to \[\Delta PQR\] is: |
A) \[5:3\]
B) \[3:5\]
C) \[25:9\]
D) \[9:25\]
Correct Answer: C
Solution :
[c] \[\Delta ABC\tilde{\ }\Delta PQR\] |
\[\therefore \,\,\,\,\,\,\,\,\frac{ar(\Delta ABC)}{ar(\Delta PQR)}=\frac{{{(BC)}^{2}}}{{{(QR)}^{2}}}=\frac{{{(5)}^{2}}}{{{(3)}^{2}}}=\frac{25}{9}\] |
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