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1. a) Consider a regular hexagon ABCDEF as shown. Prove that AB + AC + AD + AE + AF = 3AD F B E D b) In triangle ABC, a median is drawn from vertex A to the midpoint of BC, which is labelled D. If AB = b and AC = č, prove that AD = b +C.

1. a) Consider a regular hexagon ABCDEF as shown. Prove that AB + AC + AD + AE + AF = 3AD F B E D b) In triangle ABC, a median is drawn from vertex A to the midpoint of BC, which is labelled D. If AB = b and AC = č, prove that AD = b +C.

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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1. a) Consider a regular hexagon ABCDEF as shown. Prove that AB + AC + AD + AE + AF = 3AD F B E D b) In triangle ABC, a median is drawn from vertex A to the midpoint of BC, which is labelled D. If AB = b and AC = č, prove that AD = b+. 1
Transcribed Image Text:1. a) Consider a regular hexagon ABCDEF as shown. Prove that AB + AC + AD + AE + AF = 3AD F B E D b) In triangle ABC, a median is drawn from vertex A to the midpoint of BC, which is labelled D. If AB = b and AC = č, prove that AD = b+. 1
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