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  1. ∆ ABC and ∆DEF are two similar triangles and the perimeters of ∆ABC and ∆DEF are 30 cm and 18 cm respectively. If the length of DE = 36 cm, then length of AB is
    1. 60 cm.
    2. 40 cm.
    3. 45 cm.
    4. 50 cm.
Correct Option: A

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

Given , The perimeters of ∆ABC and ∆DEF are 30 cm and 18 cm
and DE = 36 cm
∆ ABC ~ ∆ DEF

AB
=
BC
=
AC
DEEFDF

=
AB + BC + CA
DE + EF + FA

AB
=
30
DE18

AB
=
30
3618

⇒ AB =
30 × 36
= 60 cm.
18



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