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This is a list of two-dimensional geometric shapes in Euclidean and other geometries. For mathematical objects in more dimensions, see list of mathematical shapes. For a broader scope, see list of shapes.
R^2 to R^2/Linear/Image of a square/Exercise Mathematics for Applied Sciences (Osnabrück 2023-2024)/Part I/Exercise sheet 24/refcontrol Linear algebra (Osnabrück 2024-2025)/Part I/Exercise sheet 11
The following other wikis use this file: Usage on ar.wikipedia.org مثلث متساوي الساقين; Usage on ary.wikipedia.org متلت; Usage on as.wikipedia.org
An equilateral triangle is a triangle in which all three sides have the same length, and all three angles are equal. Because of these properties, 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, creating more special properties.
Pascal triangle; Peano curve; Penrose tiling; Pinwheel tiling; Pythagoras tree; Rauzy fractal; Rössler attractor; Sierpiński arrowhead curve; Sierpinski carpet; Sierpiński curve; Sierpinski triangle; Smith–Volterra–Cantor set; T-square; Takagi or Blancmange curve; Triflake [citation needed] Vicsek fractal; von Koch curve; Weierstrass ...
Triangles have many types based on the length of the sides and the angles. A triangle whose sides are all the same length is an equilateral triangle, [3] a triangle with two sides having the same length is an isosceles triangle, [4] [a] and a triangle with three different-length sides is a scalene triangle. [7]
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However, the blue triangle has a ratio of 5:2 (=2.5), while the red triangle has the ratio 8:3 (≈2.667), so the apparent combined hypotenuse in each figure is actually bent. With the bent hypotenuse, the first figure actually occupies a combined 32 units, while the second figure occupies 33, including the "missing" square.