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      Question

      In triangle ABC, a line DE is drawn parallel to side BC. If

      AD = 6 cm, DB = 4 cm, and AE = 9 cm, determine the length of AC.
      A 18 cm Correct Answer Incorrect Answer
      B 10 cm Correct Answer Incorrect Answer
      C 15 cm Correct Answer Incorrect Answer
      D 12 cm Correct Answer Incorrect Answer

      Solution

      ATQ,

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

      So, (AD/DB) = (AE/EC)

      Or, (6/4) = (9/EC)

      Or, EC = 6 cm

      So, AC = 9 + 6 = 15 cm

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