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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.
Print/export Download as PDF; Printable version; In other projects ... Acute triangle; Equilateral triangle; Heptagonal triangle; Isosceles triangle. Golden Triangle;
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Trigonometry/Angles of a triangle sum to 180 Degrees; Trigonometry/Similar, Congruent, Isosceles, and Equilateral; Usage on en.wikiversity.org Geometry/Chapter 4/Lesson 1; Usage on en.wiktionary.org سێگۆشە; egyenlő oldalú háromszög; szabályos háromszög; Usage on eo.wikipedia.org Triangulo; Listo de regulaj hiperpluredroj; Plurĉelo ...
Because the internal angle of the equilateral triangle is 60 degrees, six triangles at a point occupy a full 360 degrees. The triangular tiling has Schläfli symbol of {3,6}. English mathematician John Conway called it a deltille , named from the triangular shape of the Greek letter delta (Δ).
Napoleon's theorem: If the triangles centered on L, M, N are equilateral, then so is the green triangle.. In geometry, Napoleon's theorem states that if equilateral triangles are constructed on the sides of any triangle, either all outward or all inward, the lines connecting the centres of those equilateral triangles themselves form an equilateral triangle.
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]
Equilateral triangle (Green) 60° rhombus (2 triangles) (Blue) that can be matched with two of the green triangles; 30° Narrow rhombus (Beige) with the same side-length as the green triangle; Trapezoid (half hexagon or 3 triangles) (Red) that can be matched with three of the green triangles