Heron's Formula

Heron's Formula

In geometry, Heron's (or Hero's) formula, named after Heron of Alexandria, states that the area T of a triangle whose sides have lengths a, b, and c is

where s is the semiperimeter of the triangle:

Heron's formula can also be written as:

Heron's formula is distinguished from other formulas for the area of a triangle, such as half the base times the height or half the modulus of a cross product of two sides, by requiring no arbitrary choice of side as base or vertex as origin.

Read more about Heron's Formula:  History, Proof, Proof Using The Pythagorean Theorem, Numerical Stability, Generalizations

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