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    Question

    ∆ABC and ∆DEF are similar and their areas are

    respectively 121 cm2 and 144 cm 2 . If EF = 24 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 18 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   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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