Unsolved Problem 22:
Is there a triangle with integer sides, medians, and area?
A median of a triangle is the line segment
joining a vertex and the midpoint of the opposite side.
Triangles with Integer Sides, Medians, and Area
- [Guy 1994]
- Richard K. Guy,
Unsolved Problems in Number Theory, second edition.
Springer Verlag. New York: 1994.
Each week, for your edification, we publish a well-known
unsolved mathematics problem. These postings are intended
to inform you of some of the difficult, yet
interesting, problems that mathematicians
are investigating. We do not suggest that you tackle these problems,
since mathematicians have been unsuccessfully working on these
problems for many years.