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  2. Heron's formula - Wikipedia

    en.wikipedia.org/wiki/Heron's_formula

    The formula is credited to Heron (or Hero) of Alexandria (fl. 60 AD), [3] and a proof can be found in his book Metrica. Mathematical historian Thomas Heath suggested that Archimedes knew the formula over two centuries earlier, [ 4 ] and since Metrica is a collection of the mathematical knowledge available in the ancient world, it is possible ...

  3. Area of a triangle - Wikipedia

    en.wikipedia.org/wiki/Area_of_a_triangle

    Taking L to be the x-axis, the line integral between consecutive vertices (x i,y i) and (x i+1,y i+1) is given by the base times the mean height, namely (x i+1 − x i)(y i + y i+1)/2. The sign of the area is an overall indicator of the direction of traversal, with negative area indicating counterclockwise traversal.

  4. Semiperimeter - Wikipedia

    en.wikipedia.org/wiki/Semiperimeter

    In geometry, the semiperimeter of a polygon is half its perimeter. Although it has such a simple derivation from the perimeter, the semiperimeter appears frequently enough in formulas for triangles and other figures that it is given a separate name. When the semiperimeter occurs as part of a formula, it is typically denoted by the letter s.

  5. Heronian triangle - Wikipedia

    en.wikipedia.org/wiki/Heronian_triangle

    In geometry, a Heronian triangle (or Heron triangle) is a triangle whose side lengths a, b, and c and area A are all positive integers. [1] [2] Heronian triangles are named after Heron of Alexandria, based on their relation to Heron's formula which Heron demonstrated with the example triangle of sides 13, 14, 15 and area 84. [3]

  6. Rugby-Argentine court dismisses rape charges against two ...

    www.aol.com/news/argentina-court-dismisses-rape...

    BUENOS AIRES (Reuters) -An Argentine court dismissed aggravated rape charges against French international rugby players Hugo Auradou and Oscar Jegou on Tuesday, drawing a line under a dark period ...

  7. Angelina Jolie Goes Barefoot on “The Tonight Show” After ...

    www.aol.com/lifestyle/angelina-jolie-goes...

    Angelina Jolie appeared on The Tonight Show Starring Jimmy Fallon to promote her movie Maria, during which the host noticed she wasn't wearing shoes. The actress explained she recently broke her ...

  8. Walmart employees testing body cameras at some stores for ...

    www.aol.com/walmart-employees-testing-body...

    Walmart has become the most recent retailer known to have some store employees wear body cameras. The nation's largest retailer has some employees taking part in a body camera pilot program ...

  9. Brahmagupta's formula - Wikipedia

    en.wikipedia.org/wiki/Brahmagupta's_formula

    Heron's formula for the area of a triangle is the special case obtained by taking d = 0. The relationship between the general and extended form of Brahmagupta's formula is similar to how the law of cosines extends the Pythagorean theorem .

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