# Heron formula

From Encyclopedia of Mathematics

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

$$S=\sqrt{p(p-a)(p-b)(p-c)},$$

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

#### References

[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: http://encyclopediaofmath.org/index.php?title=Heron_formula&oldid=53835

This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article