"Equilateral" redirects here. For other uses, see Equilateral (disambiguation).
Equilateral triangle
Type
Regular polygon
Edges and vertices
3
Schläfli symbol
{3}
Coxeter–Dynkin diagrams
Symmetry group
D3
Area
Internal angle (degrees)
60°
In geometry, an equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°. It is also a regular polygon, so it is also referred to as a regular triangle.
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an equilateraltriangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateraltriangle is also...
Reuleaux triangle into an inner equilateraltriangle and three curvilinear regions between this inner triangle and the arcs forming the Reuleaux triangle, and...
including the equilateraltriangle as a special case. Examples of isosceles triangles include the isosceles right triangle, the golden triangle, and the faces...
truncated equilateraltriangle, t{3}, which alternates two types of edges. A regular hexagon is defined as a hexagon that is both equilateral and equiangular...
different measure. EquilateralTriangle Isosceles triangle Scalene triangle Hatch marks, also called tick marks, are used in diagrams of triangles and other geometric...
fail to qualify as triangle centers. For an equilateraltriangle, all triangle centers coincide at its centroid. However the triangle centers generally...
can both be called regular icosahedra. Each has 30 edges and 20 equilateraltriangle faces with five meeting at each of its twelve vertices. Both have...
square faces is the internal angle of an equilateraltriangle π/3 = 60°, and that between a square and a triangle is π/2 = 90°. The volume of any prism is...
equal horizontal stripes, alternating from red to white, with a blue equilateraltriangle based on the hoist side bearing a large, sharp, upright, five-pointed...
Winter Triangle is an astronomical asterism formed from three of the brightest stars in the winter sky. It is an imaginary equilateraltriangle drawn on...
geometry can for example be defined as the length of a side of an equilateraltriangle with fixed angles. The length scale is most convenient if the lengths...
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...
Overlapping the Philippine sun is a red equilateraltriangle. Inside and at the center of the equilateraltriangle is the traditional golden-yellow sea lion...
Circle packing in an equilateraltriangle is a packing problem in discrete mathematics where the objective is to pack n unit circles into the smallest...
an equilateraltriangle, and each successive stage is formed by adding outward bends to each side of the previous stage, making smaller equilateral triangles...
incircle}}{\text{Area of triangle}}}\leq {\frac {\pi }{3{\sqrt {3}}}}} with equality only for the equilateraltriangle. If an inner triangle is inscribed in a...
(tesseract). Radially equilateral polytopes are those which can be constructed, with their long radii, from equilateraltriangles which meet at the center...
In geometry, an equilateral polygon is a polygon which has all sides of the same length. Except in the triangle case, an equilateral polygon does not need...
area of an equilateraltriangle, π 3 3 {\displaystyle {\frac {\pi }{3{\sqrt {3}}}}} , is larger than that of any non-equilateraltriangle. The ratio of...
Reuleaux triangle, which in turn, is named after 19th-century German engineer Franz Reuleaux. The Reuleaux triangle can be constructed from an equilateral triangle...
of the 26–26–26 equilateraltriangle ABC is 169√3, which is larger than three times 39√3, the area of a 26–14–14 isosceles triangle (all by Heron's formula)...