All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
Primitive Pythagorean Triangles (Posted on 2008-01-26) Difficulty: 3 of 5
A primitive Pythagorean triangle (PPT) is a right triangle whose side lengths are integers that are relatively prime.

1) Prove that the inradius of a PPT has a different parity than the mean of the hypotenuse and the odd leg.

2) Prove that there exists an infinite number of pairs of non-congruent PPTs such that both members of the pair have the same inradius.

See The Solution Submitted by Bractals    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): solutionDaniel2008-01-27 01:54:02
re: solutionBractals2008-01-26 17:00:04
solutionDaniel2008-01-26 16:31:54
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information