Πέμπτη, 12 Οκτωβρίου 2017

1998 JBMO problem 2 (GRE)

proposed by Greece

Let ${ABCDE }$  be a convex pentagon such that ${AB = AE = CD = 1, \angle ABC = \angle DEA = 90^\circ }$  and ${BC + DE = 1 }$. Compute the area of the pentagon.

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