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Online Geometry Problem 262: Regular Hexagon inscribed in a circle, sum of distances, Point on the circumcircle. Level: High School, Honors Geometry, College, Mathematics Education

The figure shows a regular hexagon ABDEF inscribed in a circle. If point G is on arc BC, GA = a, GB = b, GC = c,
GD = d, GE = e, GF = f, prove that a + b + c d = e + f. View or post a solution.
 

Problem 262: Regular hexagon inscribed
 

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