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      Question

      What is the inradius of an equilateral triangle whose

      vertical height measures 12√3 cm?
      A 4√3 cm Correct Answer Incorrect Answer
      B 3√3 cm Correct Answer Incorrect Answer
      C 12√3 cm Correct Answer Incorrect Answer
      D √3 cm Correct Answer Incorrect Answer

      Solution

      ATQ,

      Altitude = (√3a/2)

      β‡’ (√3a/2) = 12√3

      β‡’ a = 24 cm

      Inradius = a / (2√3) = 24 / (2√3) = 12 / √3 = 4√3 cm

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