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

Aarea of the triangle (m2)
ssemiperimeter (m)
aside length a (m)
bside length b (m)
cside length c (m)