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      Question

      Find the radius of the incircle of an equilateral triangle

      whose height is given to be 3√3 cm.
      A √3 cm Correct Answer Incorrect Answer
      B 3√3 cm Correct Answer Incorrect Answer
      C 5√3 cm Correct Answer Incorrect Answer
      D 12√3 cm Correct Answer Incorrect Answer

      Solution

      ATQ,

      Altitude = (√3a/2)

      β‡’ (√3a/2) = 3√3

      β‡’ a = 6 cm

      Inradius = a / (2√3) = 6 / (2√3) = 3 / √3 = √3 cm

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