perplexus.info :: Geometry : The Equiangular Hexagon

The Equiangular Hexagon (Posted on 2014-02-17)

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.

No Solution Yet 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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