21 Sep 2013
Prize Maths Quiz: Inscribed Hexagon Puzzle (PMQ37)
The figure ABCDEF is a cyclic hexagon with lengths AB = CD = EF = 5, BC = DE = 2 and AF = 11. Given that the area of the hexagon is 54, find the rational value of the length BE.
As usual, assume this is a competition question. You have an ample supply of paper and pens and... that's it! Of course, this isn't a timed competition so that finding the answer is not so hard, but the important thing is to have a good solution method that can also be used in the future. Enjoy!
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How to Enter
IF YOU ARE A STUDENT, you may still send your complete solution by email to firstname.lastname@example.org.[note that this email still works] This email address shall be removed after the competition closes to avoid spam. This PMQ37 competition closes on WEDNESDAY 25 SEPTEMBER at 23:59 GMT.
The prizes for this PMQ are 3 free places in our Online Maths Club for ONE YEAR. The very first correct solution will receive a prize plus two others randomly selected from all the other correct answers. The email time stamp shall determine the order of entries received. All winners can have their name posted and a link to their own online profile at their favourite social network or their own blog.
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