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This is some very hard geometry

 

Triangle XYZ is equilateral.  Points Y and Z lie on a circle centered at O, such that X is the circumcenter of triangle OYZ, and X lies inside triangle OYZ.  If the area of the circle is , then find the area of triangle XYZ.

 May 27, 2023
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If the area of the circumcircle around triangle OYZ with center X is 1, then the area of triangle XYZ is 1/6.

laugh  !

 May 27, 2023

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