Heron's Formula

Revision as of 19:24, 18 June 2006 by Dschafer (talk | contribs) (Changed semiperimeter to semi-perimeter for consistancy)

Heron's formula (sometimes called Hero's formula) is a method for finding the area of a triangle given only the three side lengths.

Definition

For any triangle with side lengths ${a}, {b}, {c}$, the area ${K}$ can be found using the following formula:

$K=\sqrt{s(s-a)(s-b)(s-c)}$

where the semi-perimeter $s=\frac{a+b+c}{2}$.

See Also