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The Equiangular Hexagon (
Posted on 2014-02-17
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An equiangular hexagon has side lengths 6, 7, 8, 9, 10, 11 (not necessarily in this order). If the area of the hexagon is k√3 , find the sum of all possible values of k.
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Submitted by
Danish Ahmed Khan
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Puzzle Answer
Comment 2 of 2 |
The possible values of k are 106.25 and 106.75.
Consequently, the sum of all possible values of k is 213.
*** I hope to posit an independent full explanation corresponding to this answer.
Edited on
May 2, 2022, 12:32 am
Posted by
K Sengupta
on 2022-05-02 00:30:37
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