Difference between revisions of "Heron formula"
From Encyclopedia of Mathematics
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| − | A formula expressing the surface area | + | {{TEX|done}} |
| + | 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 | + | where $p=(a+b+c)/2$. Named after Heron (1st century A.D.). |
Revision as of 21:16, 11 April 2014
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) |
| [a2] | H.S.M. Coxeter, "Introduction to geometry" , Wiley (1961) |
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