Question
∆ABC and ∆DEF are similar and their areas are
respectively 121 cm2 and 144 cm 2 . If EF = 24 cm BC is?Solution
Ratio of perimeter of similar triangles = ratio of the corresponding sides of similar triangles. (area of ∆ABC)/(area of ∆DEF)=(BC/EF) 2 121/144 = (BC/24) 2 (11/12) 2 = (BC/24) 2 11/12 = BC/24 BC = (11 × 24)/12 = 22 cm
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