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  1. The perimeter of two similar triangles ABC and PQR are 36 cms and 24 cms respectively. If PQ = 10 cm then the length of AB is
    1. 18 cm
    2. 12 cm
    3. 15 cm
    4. 30 cm
Correct Option: C

Given that , The perimeter of two triangles ABC and PQR are 36 cms and 24 cms. and PQ = 10 cm
∆ ABC ~ ∆ PQR

AB
=
BC
=
AC
PQQRPR

=
AB + BC + AC
PQ + QR + PR

AB
=
36
AB
=
3
PQ24102

⇒ AB =
3
× 10 = 15 cm.
2



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