In geometry, an equilateral polygon has all sides of the same length.

An equilateral polygon which is convex and a cyclic (points on a circle), is a regular polygon.

An equilateral triangle is a triangle of equal edge lengths. All equilateral triangles are similar to each other with 60 degree angles.

For quadrilaterals the square and a rhombus are equilateral. A square has right angles, while the rhombus has one angular degree of freedom: Rhombus.svg

Any n-sided polygon which has n sides of equal length can be considered an equilateral. Not all equilaterals are convex geometric shapes: consider that for a pentagon two adjacent sides can be reflected in the line segment joining the two extreme vertices.

Elementary geometry

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