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      Question

      Find out the diameter of the incircle of a given

      triangle with a semi-perimeter of 24 cm and an area of 72 cmΒ².
      A 6 cm Correct Answer Incorrect Answer
      B 10 cm Correct Answer Incorrect Answer
      C 12 cm Correct Answer Incorrect Answer
      D 4 cm Correct Answer Incorrect Answer

      Solution

      ATQ,

      Radius of incircle = Area of triangle / Semi-perimeter = 72 / 24 = 3 cm

      Therefore, diameter of the incircle = 2 Γ— 3 = 6 cm

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