perplexus.info :: Shapes : Equiangular Hexagons

Equiangular Hexagons (Posted on 2004-10-15)

Convex hexagon ABCDEF is equiangular but has no two sides the same length. Its sides in some order are 1, 2, 3, 4, 5 and 6 units long. If AB=1 and CD>BC, what are the lengths of BC, CD, DE, EF and FA?

Another convex hexagon is also equiangular and has sided measuring 1, X, 3, 4, 5, and 6 units long in that order going clockwise. What is the measure of X?

Submitted by Brian Smith

Rating: 3.4000 (5 votes)

Solution: (Hide)

Hexagon 1:
AB=1, BC=4, CD=5, DE=2, EF=3, FA=6
Hexagon 2: X=8

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Answer	K Sengupta	2022-05-02 23:09:02
wierd analogy + solution	Tristan	2004-10-16 01:27:54
Solutions + Exp's	Jer	2004-10-15 16:30:33
First Part, Answer and Solution	nikki	2004-10-15 15:39:38
Full Solution and Explaination	Rajal	2004-10-15 15:02:36
re: part 2 by paper; part 1 by computer	Charlie	2004-10-15 14:55:23
part 2 by paper; part 1 by computer	Charlie	2004-10-15 14:51:19
Second Part (probably no different from OOO!'s post)	nikki	2004-10-15 14:34:16
Second part	Old Original Oskar!	2004-10-15 14:03:53

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