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      Question

      In a triangle PQR, ST is drawn parallel to side QR. If

      PS = 8 cm, QS = 5 cm and PT = 14 cm, then find PR.
      A 21.75 cm Correct Answer Incorrect Answer
      B 22.75 cm Correct Answer Incorrect Answer
      C 23.5 cm Correct Answer Incorrect Answer
      D 20.5 cm Correct Answer Incorrect Answer

      Solution

      A line drawn parallel from two sides of a triangle to its third side divides the sides in same proportion.

      So, (PS/QS) = (PT/RT)

      Or, (8/5) = (14/RT)

      Or, RT = 8.75 cm

      So, PR = 14 + 8.75 = 22.75 cm

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