A regular pentagon ABCDE on the pseudosphere H has vertices A= (0,0,1), B = (a, 0, b), and E = (0, a, b). What are the exact values of a and b?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 35EQ
Question

A regular pentagon ABCDE on the pseudosphere H has vertices A= (0,0,1), B = (a, 0, b), and E = (0, a, b). What are the exact values of a and b? 

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