Talk:Special right triangles
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[edit] More info, please!
This article is nice, but is very small. On such a broad topic, you'd think that there would be more information available than what is in the article. Perhaps someone could pump it up some? ROBO 04:04, 6 October 2007 (UTC)
- There should be more, for example, a simple formula to find the two sides of a 45-45-90 triangle when one knows only the hypotenuse. 198.150.12.32 (talk) 16:09, 24 April 2008 (UTC)
What about the other triad pattern; 3:4:5 5:12:13 13:84:85 85:3612:3613 3613:6526884:6526885 and so on. we've worked out the pattern, but it's not mentioned here. If it's a new discovery email me at boredom-tekno@hotmail.com —Preceding unsigned comment added by 144.134.229.100 (talk) 10:01, 12 June 2008 (UTC)
[edit] Classification
I don't think the classification of special right triangles as angle based and edge based is very common (e.g. Edge based right triangles are more commonly called Heronian right triangles or Pythagorean triangles, isn't it?). Other special right triangles that fall outside the above two categories exist as well, for instance the Kepler triangle.
All right triangles that can be labeled special have at least one integer edge (or can be scaled such as to have one integer edge). So, perhaps a more suitable classification would be:
- Right triangles with three integer edges (i.e. Heronian right triangles based on Pythagorean triplets, or: primitive right triangles)
- Right triangles with two integer and one non-integer edge (currently referred to as the "angle-based special right triangles)
- Right triangles with one integer edge and two non-integer edges (e.g. Kepler triangle)
Perhaps alternative classifications are also possible? JocK 22:34, 27 October 2007 (UTC)
