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      Question

      Determine the inradius of an equilateral triangle whose

      altitude measures 9√3 cm.
      A 12√3 cm Correct Answer Incorrect Answer
      B 3√3 cm Correct Answer Incorrect Answer
      C 6√3 cm Correct Answer Incorrect Answer
      D 9√3 cm Correct Answer Incorrect Answer

      Solution

      Altitude of equilateral triangle = (√3a/2) , where 'a' is the side of equilateral triangle So, (√3a/2) = 9√3 Or, 'a' = 18 cm Inradius of equilateral triangle = (a/2√3) = (18/2√3) = (9/√3) = 3√3 cm

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