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    Question

    ABC is an equilateral triangle with sides of 24cm. Find

    the difference between its in-radius and circum-radius.
    A 4тИЪ3cm. Correct Answer Incorrect Answer
    B 8тИЪ3cm Correct Answer Incorrect Answer
    C 6тИЪ3cm Correct Answer Incorrect Answer
    D 3тИЪ3cm. Correct Answer Incorrect Answer

    Solution

    In-radius of an equilateral triangle = aтИЪ3/6 units where a = side of the equilateral triangle Therefore, the in-radius of the given equilateral triangle = (24тИЪ3/6) = 4тИЪ3 cm Circum-radius of the given equilateral triangle = 2 ├Ч 4тИЪ3= 8тИЪ3 cm required difference= 8тИЪ3cm - 4тИЪ3cm= 4тИЪ3cm

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