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      Question

      Determine the diameter of the incircle of a triangle

      whose area is 60 cm² and the semi-perimeter is 20 cm.
      A 6 cm Correct Answer Incorrect Answer
      B 2 cm Correct Answer Incorrect Answer
      C 4 cm Correct Answer Incorrect Answer
      D 9 cm Correct Answer Incorrect Answer

      Solution

      ATQ,

      Radius of in-circle = area of triangle / semi-perimeter = 60 / 20 = 3 cm Therefore, diameter of the in-circle = 2 × 3 = 6 cm

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