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Peculiar pentagon (Posted on 2012-11-15) Difficulty: 3 of 5
Let ABCDE be a convex pentagon in which the sides have length 1, 2, 3, 4, and 5, but not necessarily in that order. Let F, G, H, I be the midpoints of AB, BC, CD, DE, respectively. Then let X be the midpoint of FH and Y the midpoint of GI, and suppose that the length XY is an integer. How long is AE?

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 3.0000 (1 votes)

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  Subject Author Date
SolutionGeneral ProofJer2012-11-15 11:09:03
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