Heron's Formula gives the area of a triangle purely from the lengths of its three sides, as the square root of the triangle's semiperimeter multiplied successively by the semiperimeter minus each of the three sides in turn. Named for Heron of Alexandria, who recorded it in his work Metrica, it lets a triangle's area be found without first computing an angle or an altitude, and some historians attribute an equivalent form of the result to Archimedes at an earlier date.
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Source Heron's formula (Wikipedia)
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Source Heron's formula (Wikipedia)
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1. Heron's formula (Wikipedia)
History section
The formula is credited to Heron (or Hero) of Alexandria (fl. 60 AD), and a proof can be found in his book Metrica.
- In Branch: Geometry, Lead sentence
Proved By: Heron of Alexandria, Lead
Heron of Alexandria (or Hero) who proved it in his work Metrica, though it was probably known centuries earlier.
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