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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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