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

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.3: Regular Polygons And Area

Problem 38E: Consider regular pentagon RSTVQ not shown. Given that diagonals QT and VR intersect at point F, show...

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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

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