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<A = <C = 90^o, AB = AE, BC = CD, AC = 1, area of convex ABCD

Source: 2012 Oral Moscow Geometry Olympiad grades 10-11 p2

September 25, 2019
geometryareapentagon

Problem Statement

In the convex pentagon ABCDEABCDE: ∠A=∠C=90o\angle A = \angle C = 90^o, AB=AE,BC=CD,AC=1AB = AE, BC = CD, AC = 1. Find the area of the pentagon.
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