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      Question

      ∆ABC and ∆DEF are similar and their areas are

      respectively 49cm2 and 64cm 2 . If EF = 12 cm BC is?
      A 11.2 cm Correct Answer Incorrect Answer
      B 6 cm Correct Answer Incorrect Answer
      C 10.5 cm Correct Answer Incorrect Answer
      D 14 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   49/64 = (BC/12) 2 (7/8) 2 = (BC/12) 2 7/8  = BC/12 BC = (7 × 12)/8 = 10.5 cm

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