AskDefine | Define equilateral

Dictionary Definition

equilateral adj : having all sides or faces equal

User Contributed Dictionary



  1. Referring to a polygon all of whose sides are of equal length. Not necessarily a regular polygon since the angles can still differ (a regular polygon would also be equiangular).


referring to a polygon all of whose sides are of equal length
  • Albanian: barabrinjës
  • Czech: rovnostranný
  • Finnish: tasasivuinen
  • German: gleichseitig
  • Hebrew:
  • Italian: equilatero
  • Lithuanian: lygiakraštis

Extensive Definition

In geometry, an equilateral polygon is a polygon which has all sides of the same length.
For instance, an equilateral triangle is a triangle of equal edge lengths. All equilateral triangles are similar to each other, and have 60 degree internal angles. Any equilateral quadrilateral is a rhombus, which includes the square. An equilateral polygon which is cyclic (its vertices are on a circle) is a regular polygon. Not all equilateral polygons are convex: all equilateral polygons with more than four sides, such as the pentagon, can be concave.
Viviani's Theorem holds for equilateral polygons:
The sum of distances from a point to the side lines of an equilateral polygon does not depend on the point and is that polygon's invariant.

External links

equilateral in Hebrew: שווה צלעות
equilateral in Italian: poligono equilatero
equilateral in Macedonian: Рамностран многуаголник
equilateral in Polish: Wielokąt foremny
equilateral in Finnish: Tasasivuinen monikulmio
equilateral in Swedish: Liksidig

Synonyms, Antonyms and Related Words

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