Question 60

∆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

Solution

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 = $$\frac{5}{3} \times 36=60$$ cm

=> Ans - (A)

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