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  2. Pythagorean theorem - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_theorem

    If a 2 + b 2 < c 2, then the triangle is obtuse. Edsger W. Dijkstra has stated this proposition about acute, right, and obtuse triangles in this language: sgn(α + β − γ) = sgn(a 2 + b 2 − c 2), where α is the angle opposite to side a, β is the angle opposite to side b, γ is the angle opposite to side c, and sgn is the sign function. [30]

  3. Acute and obtuse triangles - Wikipedia

    en.wikipedia.org/wiki/Acute_and_obtuse_triangles

    If angle C is obtuse then for sides a, b, and c we have [4]: p.1, #74 < + <, with the left inequality approaching equality in the limit only as the apex angle of an isosceles triangle approaches 180°, and with the right inequality approaching equality only as the obtuse angle approaches 90°.

  4. Solution of triangles - Wikipedia

    en.wikipedia.org/wiki/Solution_of_triangles

    Solution of triangles (Latin: solutio triangulorum) is the main trigonometric problem of finding the characteristics of a triangle (angles and lengths of sides), when some of these are known. The triangle can be located on a plane or on a sphere. Applications requiring triangle solutions include geodesy, astronomy, construction, and navigation.

  5. Gnomon (figure) - Wikipedia

    en.wikipedia.org/wiki/Gnomon_(figure)

    In an acute isosceles triangle, it is possible to draw a similar but smaller triangle, one of whose sides is the base of the original triangle.The gnomon of these two similar triangles is the triangle remaining when the smaller of the two similar isosceles triangles is removed from the larger one.

  6. Our 21 Best 30-Minute Soups That Are Creamy & Comforting - AOL

    www.aol.com/21-best-30-minute-soups-130000239.html

    This creamy soup draws inspiration from “marry me” chicken, a dish that features chicken and sun-dried tomatoes. We add to the soup by including zucchini and carrots to create a cozy, warming ...

  7. 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);

  8. FDA Issues Urgent Warning on Dangers of Common Dog Medication

    www.aol.com/lifestyle/fda-issues-urgent-warning...

    The United States Food and Drugs Administration is warning pet owners about a common medication given to pets to treat arthritis. The F.D.A. now says that the drug Librela may be associated with ...

  9. 'Yellowstone,' 'Landman' and the trouble with 'sexy ... - AOL

    www.aol.com/entertainment/yellowstone-landman...

    In addition to the bit of stunt casting (Hadid has recently joined the cowgirl fray herself), the two also happened to spend their screen time playing strip poker with “half-naked women” at a ...