Heron formula

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A formula expressing the surface area $S$ of a triangle in terms of its sides $a$, $b$ and $c$:


where $p=(a+b+c)/2$. Named after Heron (1st century A.D.).


[a1] M. Berger, "Geometry", 1–2, Springer (1987) (Translated from French) Zbl 1153.51001
[a2] H.S.M. Coxeter, "Introduction to geometry", Wiley (1961) Zbl 0095.34502
How to Cite This Entry:
Heron formula. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article