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Heron's formula
Heron's formula is used to find the area of a triangle that has three different sides. Heron's formula is written as:
[tex]A\text{ = }\sqrt{s(s-a)(s-b)(s-c)}[/tex]where a, b and c are the sides of the triangle, and s is the semi perimeter of the triangle.
Requirement to use Heron's formula:
The three side length of the triangle must be known
Interesting Fact Heron of Alexandria
Heron’s most important geometric work, Metrica, was lost until 1896. It is a compendium, in three books, of geometric rules and formulas that Heron gathered from a variety of sources, some of them going back to ancient Babylon, on areas and volumes of plane and solid figures. The book enumerates means of finding the area of various plane figures and the surface areas of common solids. Included is a derivation of Heron’s formula (actually, Archimedes’ formula) for the area A of a triangle.
