Exercises 4.5. 1. Use Corollary 4.30 to find the area of the hyperbolic triangle with given vertices. (a) O = (0,0), P = (½,√√) and Q = (½, −√√). 12 (You should already know the angles from previous exercises!) (b) O=(0,0), P = = (1,0), Q = (0, 1). r r 3r (c) P = (r,0), Q = ( = ( — 12, ✓ 3³), R = ( — — 2, - √³) where 0 < r < 1. 2
Exercises 4.5. 1. Use Corollary 4.30 to find the area of the hyperbolic triangle with given vertices. (a) O = (0,0), P = (½,√√) and Q = (½, −√√). 12 (You should already know the angles from previous exercises!) (b) O=(0,0), P = = (1,0), Q = (0, 1). r r 3r (c) P = (r,0), Q = ( = ( — 12, ✓ 3³), R = ( — — 2, - √³) where 0 < r < 1. 2
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:Exercises 4.5. 1. Use Corollary 4.30 to find the area of the hyperbolic triangle with given vertices.
(a) O = (0,0), P
=
(½,√√) and Q = (½, −√√).
12
(You should already know the angles from previous exercises!)
(b) O=(0,0), P = = (1,0), Q = (0, 1).
r
r
3r
(c) P = (r,0), Q = (
= ( — 12, ✓ 3³), R = ( — — 2, - √³) where 0 < r < 1.
2
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