perplexus.info :: Shapes : A Square Triangulation

A Square Triangulation (Posted on 2005-01-31)

Is it possible to cut a square into seven isosceles right triangles, no two of which are congruent?

Submitted by David Shin

Rating: 4.0000 (4 votes)

Solution: (Hide)

Assume the square is a 7x7 one with vertices at (0,0), (7,0), (0,7), and (7,7). Draw the following line segments to perform the triangulation:

(0,7) to (7,0)
(3,4) to (3,0)
(3,0) to (1,2)
(1,2) to (1,0)
(1,0) to (0,1)
(0,1) to (3,4)

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

Subject	Author	Date
re(2): Solution (spoilers) and a challenge.	Dustin	2005-02-01 14:54:49
re: Solution (spoilers)	owl	2005-02-01 04:24:18
Solution (spoilers)	Dustin	2005-02-01 02:13:25
First thought	Hugo	2005-01-31 20:01:33

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