Talk:Westwood's Puzzle

Out of curiosity Matt, did you actually not know how to do this, or was it a challenge? Also, dammit why do I have to get distracted for over an hour working on math problems when I have homework to do? --Cynic (talk) 00:00, 4 March 2009 (UTC)

It was a challenge. I discovered it accidentally while I was doodling around trying to prove that the center of the incircle of a right-angle triangle whose sides are a "Pythagorean Triple" is itself integral (for example, the r/a triangle whose vertices are (0,0), (4,0), (0,3) has an incenter (1,1) etc.). Never got anywhere with that hypothesis, but I thought the truth that I documented here as "Westwood's Puzzle" was so neat I remembered it.

After I'd drawn the diagram and it appeared in colour, I did notice then that the problem could be attacked by addressing the sizes of the small triangles. Once you notice that it sort of loses its magic, but hey ho. --Matt Westwood 06:54, 4 March 2009 (UTC)