Question
∆ABC and ∆DEF are similar and their areas are
respectively 64 cm2 and 121 cm 2 . If EF = 15.4 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 64/121 = (BC/15.4) 2 (8/11) 2 = (BC/15.4) 2 8/11 = BC/15.4 BC = (8 × 15.4)/11 = 11.2cm
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