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Equiangular Hexagon

Author: mathforces
Problem has been solved: 10 times

Русский язык | English Language



In the hexagon $ABCDEF$ all angles are equal to each other. The points $ M $, $ N $, $ K $ are selected on the sides of $ EF $, $ ED $ and $ CB $ respectively, so that $ AMNK $ is a square. It is known that $ AB = 40 $ and $ EF = 41 (\sqrt{3} -1) $. Find the area of $ AMNK $.





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