• Thumbnail for Special right triangle
    A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist...
    20 KB (1,689 words) - 16:03, 4 May 2025
  • Thumbnail for Right triangle
    A right triangle or right-angled triangle, sometimes called an orthogonal triangle or rectangular triangle, is a triangle in which two sides are perpendicular...
    18 KB (2,947 words) - 05:47, 11 May 2025
  • Thumbnail for Isosceles triangle
    the equilateral triangle as a special case. Examples of isosceles triangles include the isosceles right triangle, the golden triangle, and the faces of...
    38 KB (4,157 words) - 08:26, 28 May 2025
  • Thumbnail for Triangle
    Euclid. Equilateral triangle Isosceles triangle Scalene triangle Right triangle Acute triangle Obtuse triangle All types of triangles are commonly found...
    55 KB (6,518 words) - 01:13, 30 April 2025
  • Thumbnail for Kepler triangle
    A Kepler triangle is a special right triangle with edge lengths in geometric progression. The ratio of the progression is φ {\displaystyle {\sqrt {\varphi...
    18 KB (2,047 words) - 22:57, 4 October 2024
  • Thumbnail for Fermat's right triangle theorem
    Fermat's right triangle theorem is a non-existence proof in number theory, published in 1670 among the works of Pierre de Fermat, soon after his death...
    16 KB (2,279 words) - 04:11, 14 May 2025
  • Thumbnail for Geometric mean theorem
    geometry, the right triangle altitude theorem or geometric mean theorem is a relation between the altitude on the hypotenuse in a right triangle and the two...
    9 KB (1,183 words) - 22:17, 19 April 2025
  • Thumbnail for Equilateral triangle
    the equilateral triangle is a regular polygon, occasionally known as the regular triangle. It is the special case of an isosceles triangle by modern definition...
    25 KB (2,644 words) - 16:15, 29 May 2025
  • Thumbnail for Altitude (triangle)
    the triangle is acute. For a right triangle, the orthocenter coincides with the vertex at the right angle. For an equilateral triangle, all triangle centers...
    9 KB (1,371 words) - 05:49, 27 May 2025
  • Thumbnail for Acute and obtuse triangles
    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...
    13 KB (2,153 words) - 09:46, 10 September 2024
  • theorem Sierpinski triangle (fractal geometry) Similarity (geometry) Similarity system of triangles Simson line Special right triangles Spieker center Spieker...
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  • Thumbnail for Nazi concentration camp badge
    black triangle with a Z notation (for Zigeuner, meaning Gypsy) to the right of the triangle's point. Roma were later assigned a brown triangle. Mentally...
    43 KB (3,968 words) - 10:56, 4 May 2025
  • Thumbnail for Triangle inequality
    ^{1}} , and the triangle inequality expresses a relationship between absolute values. In Euclidean geometry, for right triangles the triangle inequality is...
    34 KB (5,268 words) - 20:23, 13 April 2025
  • Thumbnail for Penrose triangle
    it. The tribar/triangle appears to be a solid object, made of three straight beams of square cross-section which meet pairwise at right angles at the vertices...
    8 KB (814 words) - 06:57, 10 May 2025
  • circumcircle of a triangle is a circle that passes through all three vertices. The center of this circle is called the circumcenter of the triangle, and its radius...
    27 KB (4,773 words) - 22:10, 29 April 2025
  • Thumbnail for Graduate Record Examinations
    Geometry: Parallel, Perpendicular Circle Triangle, Isosceles triangle, Equilateral triangle, Special right triangle Quadrilateral, Polygon Congruence, Similarity...
    56 KB (5,743 words) - 15:55, 30 May 2025
  • Thumbnail for Thales's theorem
    Thales's theorem (category Theorems about right triangles)
    AD) statement that Thales "was the first to inscribe in a circle a right-angle triangle". Thales was claimed to have traveled to Egypt and Babylonia, where...
    17 KB (2,130 words) - 22:17, 19 April 2025
  • Thumbnail for Hypotenuse
    Hypotenuse (category Parts of a triangle)
    side of a right triangle opposite the right angle. It is the longest side of any such triangle; the two other shorter sides of such a triangle are called...
    10 KB (1,285 words) - 05:05, 1 March 2025
  • Thumbnail for Exact trigonometric values
    isosceles right triangle with leg length 1. Since two of the angles in an isosceles triangle are equal, if the remaining angle is 90° for a right triangle, then...
    22 KB (3,444 words) - 06:18, 3 April 2025
  • Thumbnail for Triangular prism
    the edges pair with each triangle's vertex and if they are perpendicular to the base, it is a right triangular prism. A right triangular prism may be both...
    19 KB (1,608 words) - 00:10, 20 May 2025
  • Thumbnail for Pythagorean addition
    on the real numbers that computes the length of the hypotenuse of a right triangle, given its two sides. Like the more familiar addition and multiplication...
    35 KB (3,490 words) - 06:40, 11 March 2025
  • Thumbnail for Pythagorean theorem
    the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to...
    94 KB (12,692 words) - 05:47, 14 May 2025
  • Thumbnail for History of geometry
    Pythagorean theorem for all triangles, before which proofs only existed for the theorem for the special cases of a special right triangle. A 2007 paper in the...
    48 KB (6,299 words) - 05:58, 29 April 2025
  • Thumbnail for Inscribed square in a triangle
    two special cases that both apply to triangles. Every acute triangle has three inscribed squares, one lying on each of its three sides. In a right triangle...
    5 KB (576 words) - 19:15, 17 February 2025
  • Thumbnail for Hyperbolic triangle
    tangent circles. A triangle with one ideal vertex is called an omega triangle. Special Triangles with ideal vertices are: A triangle where one vertex is...
    13 KB (1,759 words) - 00:39, 5 March 2025
  • Thumbnail for Triangle center
    In geometry, a triangle center or triangle centre is a point in the triangle's plane that is in some sense in the middle of the triangle. For example,...
    32 KB (3,897 words) - 01:14, 27 May 2025
  • Thumbnail for Sum of angles of a triangle
    the sum of angles of a triangle equals a straight angle (180 degrees, π radians, two right angles, or a half-turn). A triangle has three angles, one at...
    13 KB (1,631 words) - 18:05, 17 April 2025
  • geometry) Isosceles triangle Kepler triangle Reuleaux triangle Right triangle Sierpinski triangle (fractal geometry) Special right triangles Spiral of Theodorus...
    46 KB (3,547 words) - 00:42, 27 May 2025
  • Thumbnail for Pythagorean triple
    positive integer k. A triangle whose side lengths are a Pythagorean triple is a right triangle and called a Pythagorean triangle. A primitive Pythagorean...
    81 KB (11,398 words) - 15:04, 15 May 2025
  • of some part of it) occur. For example, a triangle is an object of dimension two, and a degenerate triangle is contained in a line, which makes its dimension...
    9 KB (1,100 words) - 22:45, 4 April 2025