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  1. The perimeter of two similar triangles ∆ABC and ∆PQR are 60 cm and 36 cm respectively. If PQ = 18 cm, then AB is :
    1. 20 cm
    2. 24 cm
    3. 36 cm
    4. 30 cm
Correct Option: D

Here , The perimeter of two similar triangles ∆ABC and ∆PQR are 60 cm and 36 cm
and PQ = 18 cm
∆ ABC ~ ∆ PQR
As we know that ,

AB
=
BC
=
CA
PQQRRP

=
AB + BC + CA
PQ + QR + RP

AB
=
60
PQ36

AB
=
60
1836

⇒ AB =
60
× 18 = 30 cm.
36



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