Converse of Equidistant Chords Theorem
When CD = FG, what distance did you find for EA and AH?
Can you move F or G so that CD = FG and this is a different distance from your question above? If yes, what are your new values of EA and AH? If no, why do you think this is not possible?
If the length of two chords is the same, what do you know about the distance from the chords to the center of the circle?