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

Home > Shapes > Geometry
Rational Quadrilateral? (Posted on 2007-10-18) Difficulty: 3 of 5
PQRS is a convex quadrilateral such that each of the four sides PQ, QR, RS and SP as well as each of the two diagonals PR and QS have rational lengths. The two diagonals intersect at the point N.

Will all the four line segments PN, QN, RN and SN have rational lengths?

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Rectangle or Parallelogram | Comment 1 of 2

If PQRS is a rectangle or parallelogram, then PN, QN, RN and SN will be rational since the diagonals will be bisectors of each other.


  Posted by Brian Smith on 2007-10-18 11:16:05
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information