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.
(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