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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)
[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=41879
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article