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    • Question

      In triangle DEF, GH is drawn parallel to side EF. If DG = 9

      cm, GE = 3 cm and DH = 6 cm, find DF.
      A 4 cm Correct Answer Incorrect Answer
      B 10 cm Correct Answer Incorrect Answer
      C 8 cm Correct Answer Incorrect Answer
      D 12 cm Correct Answer Incorrect Answer

      Solution

      ATQ,

      By Basic Proportionality Theorem,

      (DG / GE) = (DH / HF)

      => (9 / 3) = (6 / HF)

      => HF = (6 × 3) / 9 = 2 cm

      So, DF = DH + HF = 6 + 2 = 8 cm

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