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Equilateral triangle

An equilateral triangle is a triangle with three sides of equal length and three equal angles. It is a regular polygon, occasionally known as the regular triangle. It is a special case of an isosceles triangle by modern definition. Its internal angle is 60° in degree or π/3 in radian. Its perimeter is three times the side length. Its area is a quarter of…

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Area
a quarter of the square root of 3 × side2
Edges and vertices
3
Internal angle (degrees)
π/3 (60°)
Perimeter
3 × side
Schläfli symbol
{ 3 } {\displaystyle \{3\}}
Symmetry group
D 3 {\displaystyle \mathrm {D} _{3}} of order six

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Map overview Semantic statistics

Equilateral triangle

Nodes249
Edges248
Triples174
Avg. degree1.99
Density0.008032
Components1

How this topic connects Entity context

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Equilateral triangle

Top relations

related to Centroid of and points inside a triangle · 27
Equilateral triangle → AB, ABC, AC, AD, Anglo-American, BC, BE, By, CF, Clark Kimberling, DEF, DGP, Draw, EHP, Encyclopedia, FIP, Frank Morley, In, Italian, Let
related to Constructions · 18
Equilateral triangle → ABC, ABG, ACK, Along, An, BHC, Cartesian, DEF, Either, Emperor, French Napoleon Bonaparte, Italian, Let, Lorenzo Mascheroni, Napoleon, Napoleon's, The, The Ladies' Diary
related to Fractal · 12
Equilateral triangle → Applying, Helge, In, Koch, Polish, Started, Swedish, The, The Hausdorff, The Koch, The Sierpiński, Wacław Sierpiński
related to In astrophysics · 11
Equilateral triangle → Antenna, Earth, European, However, In, Italian-French, Joseph-Louis Lagrange, Lagrange, Sun, The, The Laser Interferometer Space
related to Curved triangle · 10
Equilateral triangle → Alternatively, Euclidean, Franz Reuleaux, German, Leonhard Euler, Reuleaux, Such, Swiss, The, The Reuleaux
related to Related topics · 9
Equilateral triangle → An, French, German, It, Kiepert, Lemoine, Ludwig Kiepert, Steiner, The
related to Counting · 8
Equilateral triangle → Dutch, Fibonacci, Geometrically, Hans, Laan, Richard Padovan, The, The Padovan
related to Tessellations · 8
Equilateral triangle → All, Being, Both, Equilateral, Euclidean, In, The, With
related to Definition and characterizations · 7
Equilateral triangle → An, Based, Consequently, For, In, Schläfli, The
related to Miscellaneous shapes · 7
Equilateral triangle → Each, Gino Fano, Italian, Möbius, The, The Fano, Twisting

Important terminology Word statistics

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Important terminology

triangle equilateral three displaystyle triangles two sides triangular points area tiling regular length mathematician lines point square equal theorem case

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Equilateral triangleAreaa quarter of the square root of 3 × side21.00infobox
Equilateral triangleEdges and vertices31.00infobox
Equilateral triangleInternal angle (degrees)π/3 (60°)1.00infobox
Equilateral trianglePerimeter3 × side1.00infobox
Equilateral triangleSchläfli symbol{ 3 } {\displaystyle \{3\}}1.00infobox
Equilateral triangleSymmetry groupD 3 {\displaystyle \mathrm {D} _{3}} of order six1.00infobox
Equilateral triangleTypeisosceles triangle regular polygon simplex1.00infobox
Equilateral triangleis atriangle with three sides of equal length and three equal angles0.90text
Equilateral triangleis aregular polygon0.90text
Equilateral triangleis aspecial case of an isosceles triangle in the modern definition0.90text
Equilateral triangleis acircle that is fit inside such a triangle0.90text
Equilateral triangleis acircle that fits an equilateral triangle0.90text
Equilateral triangleis aprototile to create a triangular tiling0.90text

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    Min side: 3
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