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    Question

    Find the length of the side of a regular octagon which

    is formed by cutting the corner of square of side 20 cm?
    A 20(тИЪ2+1) Correct Answer Incorrect Answer
    B 20(тИЪ2-1) Correct Answer Incorrect Answer
    C 10(тИЪ2+1) Correct Answer Incorrect Answer
    D 10(тИЪ2-1) Correct Answer Incorrect Answer

    Solution

    Let the sides of regular octagon be a. a┬▓ = x┬▓ + x┬▓ a┬▓ = 2x┬▓ x┬▓ = a┬▓/2 x = a/тИЪ2 x + a/тИЪ2 + a = 20 a/тИЪ2 + a/тИЪ2 + a = 20 a(тИЪ2+1) = 20 тИ┤ a = 20/(тИЪ2+1) тЗТ a = 20(тИЪ2-1)

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