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      Question

      A circle touches all four sides of a quadrilateral. If

      AB = 12 cm, BC = 22 cm, and AD = 18 cm, then what is the length of CD?
      A 28cm Correct Answer Incorrect Answer
      B 24cm Correct Answer Incorrect Answer
      C 18cm Correct Answer Incorrect Answer
      D 12cm Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let length of CD = x When all four sides of a quadrilateral touch a circle, then the opposite sides of that quadrilateral are equal. Then-    AD +BC = AB +CD 18 +22 = 12 + x 12 + x = 40 X = 28cm

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