Given a right triangle with lengths that are reciprocals of integers, what is the smallest possible sum of these the integers?
In other words, given a right triangle with lengths 1/a, 1/b, and 1/c, where a, b, and c are all integers, what is the lowest value of a+b+c? Also, prove it.
Taken from CAML, which did not ask for a proof.
(In reply to
re: My Idea by Gamer)
I do not know if that relation which you have suggested holds or not and I haven't checked it out yet but by giving an example you cannot give all possible solutions to the given problem. What I was trying to ask others was that if anyone could find out a general result using the given fact. Anyway, your solution might also work (not verified) but we are looking for the general result and not just one or two examples.
re(2): My Idea
