Could show the step please 1) 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? Please do not use acalculator. Please fully justify your answer. 2) A triangle ∆ABC on the pseudosphere H has all sides of length s (so it is equilateral).Let the incircle of ∆ABC have inradius r. What is the range of possible values for cos r?Please do not use a calculator. Please fully justify your answer.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Could show the step please

1) 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? Please do not use a
calculator. Please fully justify your answer.

2) A triangle ∆ABC on the pseudosphere H has all sides of length s (so it is equilateral).
Let the incircle of ∆ABC have inradius r. What is the range of possible values for cos r?
Please do not use a calculator. Please fully justify your answer.

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