Intersection of Three Chords

Geometry Level 3

On the circumference of circle Γ\Gamma , chord ABAB with length 11001100 is drawn. Let CC be the midpoint of ABAB. Through CC, 2 other chords DE DE and FGFG are also drawn, such that the points around the circle are A,D,F,B,E,GA, D, F, B, E, G. The line segment ABAB intersects DGDG and FEFE (internally) at HH and II, respectively.

If AH=449AH=449, what is CI?CI?

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