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  1. If ∆PQR and ∆LMN are similar and 3PQ = LM and MN = 9 cm, then QR is equal to :
    1. 12 cm
    2. 6 cm
    3. 9 cm
    4. 3 cm
Correct Option: D

As per the given in question , we draw figures of two similar triangles PQR and LMN

Here , 3PQ = LM and MN = 9 cm
∆ PQR ~ ∆ LMN

∴
PQ
 =
QR
LMMN

⇒
PQ
 =
QR
3PQ9

⇒QR =
1
 × 9 = 3 cm.
3


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