equilateral triangle

Also known as regular triangle, equiangular triangle

geometric shape with three sides of equal length

AI overview

An equilateral triangle is a geometric shape with three sides that are all exactly the same length. It's a fundamental shape in geometry that appears frequently in nature and mathematics, making it useful for understanding basic principles of symmetry and balance.

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Image: Regular triangle.svg

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Commons category: Equilateral triangles
Schläfli symbol: {3}

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Article

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.

The equilateral triangle can be found in various tilings, and in polyhedrons such as the deltahedron and antiprism. It appears in real life in popular culture, architecture, and the study of stereochemistry resembling the molecular known as the trigonal planar molecular geometry.