16-Jul-1995

Unsolved Problem 29:

Let triangles A and B have edge lengths a1, a2, a3, and b1, b2, b3, respectively. What is the necessary and sufficient condition on the variables a1, a2, a3, b1, b2, b3 so that triangle A can fit inside triangle B?

Reference:

[Croft 1991]
Hallard T. Croft, Kenneth J. Falconer, and Richard K. Guy, Unsolved Problems in Geometry. Springer-Verlag. New York: 1991. Page 50.
Fitting One Triangle Inside Another
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.

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