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AB=BC=CD=DE=EA=1, <ABC=<BCD=<CDE=<DEA=90^o 2015 BMT Team 16

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January 4, 2022
geometry3D geometryequal anglesequal segments

Problem Statement

Five points A,B,C,DA, B, C, D, and EE in three-dimensional Euclidean space have the property that AB=BC=CD=DE=EA=1AB = BC = CD = DE = EA = 1 and ∠ABC=∠BCD=∠CDE=∠DEA=90o\angle ABC = \angle BCD =\angle CDE = \angle DEA = 90^o . Find all possible cos⁡(∠EAB)\cos(\angle EAB).
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