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

Home > Shapes > Geometry
Minimum Heron Median (Posted on 2009-12-13) Difficulty: 3 of 5
Precisely two of the median lengths of a Heronian triangle are integers. The remaining median length is not an integer.

Determine the minimum possible value of the smaller of the two integer median lengths.

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Computer Solution Comment 3 of 3 |
(In reply to re: Computer Solution by Dej Mar)

Correct you are.

I incorrectly interpreted n,m, and k to be integers, and not just rational numbers. Well now, don't I feel stupid.

I've switched the program around to just use integer side lengths, and check using Heron's formula to ensure the area is an integer value. Up to side lengths 500 for a and b, and a range of (a-b) to (a+b) for the values of c, the program has yet to find any median length under 35, as you've stated.

Edited on December 14, 2009, 2:48 am
  Posted by Justin on 2009-12-14 02:32:06

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