Heron's Formula

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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 semiperimeter $s=\frac{a+b+c}{2}$.

See Also