∆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 ?->(Show Answer!)

1. ∆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

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By: anil on 05 May 2019 01.48 am

It is given that ΔABC $$sim$$ ΔDEF Also, perimeter of ∆ABC and ∆DEF are 30 cm and 18 cm => Ratio of Perimeter of ΔABC : Perimeter of ΔDEF = Ratio of corresponding sides = AB : DE = $$frac{30}{18} = frac{AB}{36}$$ => AB = $$frac{5}{3} imes 36=60$$ cm => Ans - (A)

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