Question

∆abc and ∆def are two similar triangles and the perimeter of ∆abc and ∆def are 30 cm and 18 cm respectively. if length of de = 36 cm, then length of ab is

Answer 1

Heya !!

Here's your answer..⬇⬇
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∆ ABC ~ ∆ DEF

The correspondence ABC ↔ DEF is a similarity.

AB/DE = BC/EF = AC/DF = ( AB+BC+AC )/( DE+EF+DF )

( AB+BC+AC )/( DE+EF+DF ) = AB/DE

Perimeter of ∆ABC = AB+BC+AC = 30 cm
Perimeter of ∆DEF = DE+EF+DF = 18 cm
DE = 36cm

30/18 = AB/36

30×2 = AB

AB = 60 cm
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Hope it helps..
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Answer 2

Answer:

Given that:

∆ ABC ~ ∆ DEF

The correspondence ABC ↔ DEF is a similarity.

AB/DE = BC/EF = AC/DF = ( AB+BC+AC )/( DE+EF+DF )

( AB+BC+AC )/( DE+EF+DF ) = AB/DE

Perimeter of ∆ABC = AB+BC+AC = 30 cm

Perimeter of ∆DEF = DE+EF+DF = 18 cm

DE = 36cm

30/18 = AB/36

30×2 = AB

AB = 60 cm