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 formulasVariables
A | area of the triangle (m2) |
s | semiperimeter (m) |
a | side length a (m) |
b | side length b (m) |
c | side length c (m) |