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      Question

      ΔΑΒC ~ ΔDEF and the perimeters of ΔABC and ΔDEF

      are 40 cm and 12 cm, respectively. If DE = 6 cm, then AB is:
      A 12.6 cm Correct Answer Incorrect Answer
      B 24 cm Correct Answer Incorrect Answer
      C 20 cm Correct Answer Incorrect Answer
      D 10 cm Correct Answer Incorrect Answer

      Solution

      ∆ABC ~ ∆DEF   AB/DE = Perimeter of ∆ABC/Perimeter of ∆DEF x/6 = 40/12 x = (40/12) x 6   AB = 20 cm The length of AB is 20 cm.

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