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  2. Heron's formula - Wikipedia

    en.wikipedia.org/wiki/Heron's_formula

    Heron's formula is a special case of Brahmagupta's formula for the area of a cyclic quadrilateral. Heron's formula and Brahmagupta's formula are both special cases of Bretschneider's formula for the area of a quadrilateral. Heron's formula can be obtained from Brahmagupta's formula or Bretschneider's formula by setting one of the sides of the ...

  3. Methods of computing square roots - Wikipedia

    en.wikipedia.org/wiki/Methods_of_computing...

    A method analogous to piece-wise linear approximation but using only arithmetic instead of algebraic equations, uses the multiplication tables in reverse: the square root of a number between 1 and 100 is between 1 and 10, so if we know 25 is a perfect square (5 × 5), and 36 is a perfect square (6 × 6), then the square root of a number greater than or equal to 25 but less than 36, begins with ...

  4. Brahmagupta's formula - Wikipedia

    en.wikipedia.org/wiki/Brahmagupta's_formula

    This formula generalizes Heron's formula for the area of a triangle. A triangle may be regarded as a quadrilateral with one side of length zero. From this perspective, as d approaches zero, a cyclic quadrilateral converges into a cyclic triangle (all triangles are cyclic), and Brahmagupta's formula simplifies to Heron's formula.

  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 .

  6. 15 Christmas Tree Desserts That Are *Almost* Too Cute to Eat

    www.aol.com/15-christmas-tree-desserts-almost...

    Peppermint Ornaments. Talk about easy! All you need for this simple recipe is peppermint candies, nonstick cooking spray, metal cookie cutters, and a parchment-lined baking sheet.

  7. Alabama, ACC headline winners and losers from College ...

    www.aol.com/alabama-acc-headline-winners-losers...

    The debut 12-team College Football Playoff field is set, but not without a late dose of controversy. SMU earned an at-large bid ahead of Alabama after losing 34-31 to Clemson in the ACC ...

  8. De Gua's theorem - Wikipedia

    en.wikipedia.org/wiki/De_Gua's_theorem

    It states that if a tetrahedron has a right-angle corner (like the corner of a cube), then the square of the area of the face opposite the right-angle corner is the sum of the squares of the areas of the other three faces: = + + De Gua's theorem can be applied for proving a special case of Heron's formula.

  9. 18 quirky British Christmas traditions that probably confuse ...

    www.aol.com/18-quirky-british-christmas...

    Pantos are humorous, slapstick entertainment for the whole family, often featuring men dressed in drag. They are sometimes based on a famous fairy tale or story, like "Cinderella," "Peter Pan," or ...