Question
∆ABC and ∆DEF are similar and their areas are
respectively 25 cm2 and 36 cm 2 . If EF = 7.2 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 25/36 = (BC/7.2) 2 (5/6) 2 = (BC/7.2) 2 5/6 = BC/7.2 BC = (5 × 7.2)/6 = 6 cm
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