# Area of a triangle (Heron's formula)

## Description

In geometry, Heron’s formula (sometimes called Hero’s formula), named after Hero of Alexandria, gives the area of a triangle by requiring no arbitrary choice of side as base or vertex as origin, contrary to other formulas for the area of a triangle, such as half the base times the height or half the norm of a cross product of two sides.

Heron’s formula states that the area of a triangle whose sides have lengths a, b, and c is as shown here.

Related formulas## Variables

A | area of the triangle (m^{2}) |

s | semiperimeter (m) |

a | side length a (m) |

b | side length b (m) |

c | side length c (m) |