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Let ABCDE be a regular pentagon, assume that each side has length 1. Let F be the intersection point of AD and EC. Using no trigonometry, show that |AF|/|FD| = (1+v 5)/2 %3D

Let ABCDE be a regular pentagon, assume that each side has length 1. Let F be the intersection point of AD and EC. Using no trigonometry, show that |AF|/|FD| = (1+v 5)/2 %3D

Elementary Geometry For College Students, 7e
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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Let ABCDE be a regular pentagon, assume that each side has length 1. Let F be the intersection point of AD and EC. Using no trigonometry, show that |AF|/|FD| = (1+V 5)/2
Transcribed Image Text:Let ABCDE be a regular pentagon, assume that each side has length 1. Let F be the intersection point of AD and EC. Using no trigonometry, show that |AF|/|FD| = (1+V 5)/2
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