A triangle the lengths of the sides and the surface area of which are expressible by integers. Named after Heron (1st century A.D.), who studied triangles with side lengths $13,14,15$ and $5,12,13$, the surface areas of which are 84 and 30, respectively.


Comments

The Pythagorean triangles are special cases (cf. Pythagorean numbers).

How to Cite This Entry:
Heron triangle. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Heron_triangle&oldid=32895
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article