A) 3 cm |
B) 6 cm |
C) 9 cm |
D) 12 cm |
A) 3 cm |
\( \Large \triangle PQR\ and\ \triangle LMN \) are similar triangle (given)
\( \Large \frac{PQ}{LM} = \frac{QR}{MN} = \frac{PR}{LN} \)
Now \( \Large \frac{PQ}{LM} = \frac{1}{3} \)
\( \Large \therefore \frac{1}{3} = \frac{QR}{MN} \)
=> \( \Large \frac{1}{3} = \frac{QR}{9} \)
\( \Large \left(\because MN = 9 cm\right) \)
Therefore, QR = 3 cm.