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  1. The perimeters of two similar triangles ∆ ABC and ∆ PQR are 36 cm and 24 cm respectively. If PQ = 10 cm, then AB is
    1. 15 cm
    2. 12 cm
    3. 14 cm
    4. 26 cm
Correct Option: A

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


In similar triangles ∆ ABC and ∆ PQR,

AB
=
BC
=
AC
PQQRPR

=
AB + BC + AC
PQ + QR + PR

AB
=
36
=
3
10242

⇒ AB =
3
× 10 = 15 cm.
2



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