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.
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