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      Question

      Find the length of AC, if ΔABC ~ ΔRQP and BC = 21 cm,

      QP = 9 cm and RP = 15 cm.
      A 30 cm Correct Answer Incorrect Answer
      B 33 cm Correct Answer Incorrect Answer
      C 35 cm Correct Answer Incorrect Answer
      D 36 cm Correct Answer Incorrect Answer

      Solution

      ΔABC ~ ΔRQP So, (BC/QP) = (AC/RP) Or, (21/9) = (AC/15) Or, (7/3) = (AC/15) Or, AC = (7/3) × 15 = 35 cm Hence, option c.

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