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      Question

      ABC is an equilateral triangle with sides of 42cm. Find

      the difference between its in-radius and circum-radius.
      A 7√3cm Correct Answer Incorrect Answer
      B 10√3cm Correct Answer Incorrect Answer
      C 12√3cm Correct Answer Incorrect Answer
      D 9√3cm Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      In-radius of an equilateral triangle = a√3/6 units where a = side of the equilateral triangle Therefore, the in-radius of the given equilateral triangle = (42√3/6) = 7√3 cm Circum-radius of the given equilateral triangle = 2 × 7√3= 14√3 cm required difference= 14√3cm - 7√3cm= 7√3cm

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