Heron's Formula

Revision as of 21:27, 30 June 2006 by Pianoforte (talk | contribs)

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


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


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


$[ABC]=\frac{ab}{2}\sin C$

$=\frac{ab}{2}\sqrt{1-\cos^2 C}$








See Also

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