Question

The perimeter of two similar triangle ABC and LMN is 60 and 48 cm respectively . If LM is 8cm then what is length of AB

Answer 1

Heya !!

Here's your answer..⤵⤵
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∆ABC ~ ∆LMN

The correspondence ABC ↔ LMN is a similarity.

( AB+BC+AC )/( LM+MN+NL ) = AB/LM

perimeter of ∆ABC = AB+BC+AC = 60 cm
Perimeter of ∆LMN = LM+MN+NL = 48 cm
LM = 8 cm

60/48 = AB/8
AB = ( 60×8 )/48
AB = 60/6
AB = 10 cm
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Answer 2

Answer:

∆ABC ~ ∆LMN

The correspondence ABC ↔ LMN is a similarity.

( AB+BC+AC )/( LM+MN+NL ) = AB/LM

perimeter of ∆ABC = AB+BC+AC = 60 cm

Perimeter of ∆LMN = LM+MN+NL = 48 cm

LM = 8 cm

60/48 = AB/8

AB = ( 60×8 )/48

AB = 60/6

AB = 10 cm