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  2. List of triangle inequalities - Wikipedia

    en.wikipedia.org/wiki/List_of_triangle_inequalities

    The parameters most commonly appearing in triangle inequalities are: the side lengths a, b, and c;; the semiperimeter s = (a + b + c) / 2 (half the perimeter p);; the angle measures A, B, and C of the angles of the vertices opposite the respective sides a, b, and c (with the vertices denoted with the same symbols as their angle measures);

  3. Triangle inequality - Wikipedia

    en.wikipedia.org/wiki/Triangle_inequality

    Euclid's construction for proof of the triangle inequality for plane geometry. Euclid proved the triangle inequality for distances in plane geometry using the construction in the figure. [6] Beginning with triangle ABC, an isosceles triangle is constructed with one side taken as BC and the other equal leg BD along the extension of side AB.

  4. Category:Triangle inequalities - Wikipedia

    en.wikipedia.org/wiki/Category:Triangle_inequalities

    Pages in category "Triangle inequalities" The following 8 pages are in this category, out of 8 total. This list may not reflect recent changes. *

  5. Weitzenböck's inequality - Wikipedia

    en.wikipedia.org/wiki/Weitzenböck's_inequality

    Rewriting the inequality above allows for a more concrete geometric interpretation, which in turn provides an immediate proof. [1]+ +. Now the summands on the left side are the areas of equilateral triangles erected over the sides of the original triangle and hence the inequation states that the sum of areas of the equilateral triangles is always greater than or equal to threefold the area of ...

  6. Hinge theorem - Wikipedia

    en.wikipedia.org/wiki/Hinge_theorem

    In geometry, the hinge theorem (sometimes called the open mouth theorem) states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle. [1]

  7. Diddy accused of dangling woman from high balcony in new case

    www.aol.com/diddy-accused-dangling-woman-high...

    Sean “Diddy” Combs has been accused in a new lawsuit of dangling a woman from the 17th-floor balcony of an apartment during an altercation.

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