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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. Heronian tetrahedron - Wikipedia

    en.wikipedia.org/wiki/Heronian_tetrahedron

    The integral edge lengths of a Heronian tetrahedron with this volume and surface area are 25, 39, 56, 120, 153 and 160. [6] In 1943, E. P. Starke published another example, in which two faces are isosceles triangles with base 896 and sides 1073, and the other two faces are also isosceles with base 990 and the same sides. [7]

  4. Area of a triangle - Wikipedia

    en.wikipedia.org/wiki/Area_of_a_triangle

    Three formulas have the same structure as Heron's formula but are expressed in terms of different variables. First, denoting the medians from sides a , b , and c respectively as m a , m b , and m c and their semi-sum ( m a + m b + m c )/2 as σ, we have [ 10 ]

  5. Brahmagupta's formula - Wikipedia

    en.wikipedia.org/wiki/Brahmagupta's_formula

    giving the basic form of Brahmagupta's formula. It follows from the latter equation that the area of a cyclic quadrilateral is the maximum possible area for any quadrilateral with the given side lengths. A related formula, which was proved by Coolidge, also gives the area of a general convex quadrilateral. It is [2]

  6. Cayley–Menger determinant - Wikipedia

    en.wikipedia.org/wiki/Cayley–Menger_determinant

    Menger extended Cayley's algebraic results to propose a new axiom of metric spaces using the concepts of distance geometry up to congruence equivalence, known as the Cayley–Menger determinant. This ended up generalising one of the first discoveries in distance geometry, Heron's formula, which computes the area of a triangle given its side ...

  7. 9 Items You Should Actually Store In The Freezer, According ...

    www.aol.com/9-items-actually-store-freezer...

    How long: Freeze for 4 hours or until completely solid, then remove the cubes from the tray, transfer them to a zip-top bag, label, and aim to use within 2 months. Courtney West/Southern Living ...

  8. Hero of Alexandria - Wikipedia

    en.wikipedia.org/wiki/Hero_of_Alexandria

    Today, however, his name is most closely associated with Heron's formula for the area of a triangle in terms of its side lengths. Hero also reported on a method for calculating cube roots. [22] In solid geometry, the Heronian mean may be used in finding the volume of a frustum of a pyramid or cone.

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