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    Question

    A triangle XYZ is drawn inside a circle with a radius of 8 cm, such that its vertices lie on the circumference of the circle. Given that ∠XYZ = ∠YZX = ∠ZXY, find the perimeter of triangle XYZ.

    A 33√3 cm Correct Answer Incorrect Answer
    B 30√3 cm Correct Answer Incorrect Answer
    C 24√3 cm Correct Answer Incorrect Answer
    D 19√3 cm Correct Answer Incorrect Answer

    Solution

    ATQ,

    Since ∠XYZ = ∠YZX = ∠ZXY, triangle XYZ is an equilateral triangle. The formula for the side length 'a' of an equilateral triangle with circumradius 'R' cm is:

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