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      Question

      Two chords AB and CD of a circle intersect at E such

      that AE = 3.4 cm, BE = 4.2 cm and CE = 2.6 cm. What is the approximate length of DE?
      A 2.1 cm Correct Answer Incorrect Answer
      B 3.6 cm Correct Answer Incorrect Answer
      C 4.2 cm Correct Answer Incorrect Answer
      D 5.5 cm Correct Answer Incorrect Answer

      Solution

      The Intersecting Chord Theorem states that when two chords intersect each other inside a circle, the products of their segments are equal. тЗТ AE * BE = CE * DE тЗТ 3.4 * 4.2 = 2.6 * DE тЗТ DE = 5.49 тЙИ 5.5

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