Heron formula
From Encyclopedia of Mathematics
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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.).
Comments
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=31574
Heron formula. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Heron_formula&oldid=31574
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article