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Decagon (Posted on 2005-01-30) Difficulty: 4 of 5
There is a decagon with eight 150 degree angles and two 120 degree angles. The lengths of its sides are a set of ten consecutive integers. Maximize the length of its longest side.

See The Solution Submitted by Tristan    
Rating: 4.0000 (1 votes)

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Some Thoughts more thoughts | Comment 3 of 6 |
(In reply to thoughts by Charlie)

Not only is is impossible to have both left and right to have exactly one sqrt(3)/2 vertical drop multipliers each, but also they cannont have exactly one .5 multiplier each, as that would entail the horizontal direction having exactly one sqrt(3)/2 multiplier, resulting in an irrational difference between the top and bottom parallel faces.

 


  Posted by Charlie on 2005-01-31 00:19:02
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