# Difference between revisions of "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. | |

− | <math> | + | === Definition === |

− | where | + | |

− | <math>s=\frac{a+b+c}{2}</math> | + | For any triangle with side lengths <math>{a}, {b}, {c}</math>, the area <math>{K}</math> can be found using the following formula: |

− | + | ||

− | + | <math>K=\sqrt{s(s-a)(s-b)(s-c)}</math> | |

+ | |||

+ | where the [[semiperimeter]] <math>s=\frac{a+b+c}{2}</math>. | ||

+ | |||

+ | === See Also === | ||

+ | |||

+ | * [[Brahmagupta's Formula]] |

## Revision as of 12:51, 18 June 2006

**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 , the area can be found using the following formula:

where the semiperimeter .