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    Question

    ∆ABC and ∆DEF are similar and their areas are respectively 16 cm2 and 64 cm 2 . If EF = 6 cm BC is?

    A 22 cm Correct Answer Incorrect Answer
    B 2 cm Correct Answer Incorrect Answer
    C 4 cm Correct Answer Incorrect Answer
    D 3 cm Correct Answer Incorrect Answer

    Solution

    Ratio of perimeter of similar triangles = ratio of the corresponding sides of similar triangles. (area of ∆ABC)/(area of ∆DEF)=(BC/EF) 2   16/64 = (BC/6) 2 (4/8) 2 = (BC/6) 2 4/8  = BC/6 BC = (4 × 6)/8 = 3 cm

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