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  2. Acute and obtuse triangles - Wikipedia

    en.wikipedia.org/wiki/Acute_and_obtuse_triangles

    An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse ...

  3. 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);

  4. Law of cosines - Wikipedia

    en.wikipedia.org/wiki/Law_of_cosines

    Obtuse case. Figure 7b cuts a hexagon in two different ways into smaller pieces, yielding a proof of the law of cosines in the case that the angle γ is obtuse. We have in pink, the areas a 2, b 2, and −2ab cos γ on the left and c 2 on the right; in blue, the triangle ABC twice, on the left, as well as on the right.

  5. Triakis tetrahedron - Wikipedia

    en.wikipedia.org/wiki/Triakis_tetrahedron

    The faces are isosceles triangles with one obtuse and two acute angles. The obtuse angle equals arccos(– ⁠ 7 / 18 ⁠ ) ≈ 112.885 380 476 16 ° and the acute ones equal arccos( ⁠ 5 / 6 ⁠ ) ≈ 33.557 309 761 92 °.

  6. Euclidean geometry - Wikipedia

    en.wikipedia.org/wiki/Euclidean_geometry

    The sum of the angles of a triangle is equal to a straight angle (180 degrees). [14] This causes an equilateral triangle to have three interior angles of 60 degrees. Also, it causes every triangle to have at least two acute angles and up to one obtuse or right angle.

  7. 15 '50s Cars That Were Just Really Ugly - AOL

    www.aol.com/15-50s-cars-were-just-000000023.html

    4. Ford Anglia 105E. This is a joke, right? The Ford Anglia 105E was manufactured from 1959 to 1967 and had a complete mess of a design, with all kinds of acute and obtuse angles on the body that ...

  8. The Most Incompatible Zodiac Signs That Should Never, Ever ...

    www.aol.com/most-incompatible-zodiac-signs-never...

    5. Leo Most Incompatible Matches for Dating (July 23 - August 22) Least Compatible Sign: Scorpio I've come to understand Leo and Scorpio as two of the ultimate power signs of the zodiac. But Leos ...

  9. Angle - Wikipedia

    en.wikipedia.org/wiki/Angle

    An angle larger than a right angle and smaller than a straight angle (between 90° and 180°) is called an obtuse angle [6] ("obtuse" meaning "blunt"). An angle equal to ⁠ 1 / 2 ⁠ turn (180° or π radians) is called a straight angle. [5] An angle larger than a straight angle but less than 1 turn (between 180° and 360°) is called a reflex ...