equilateral triangle

An equilateral triangleMathworldPlanetmath is one for which all 3 sides are congruent.


The following statements hold in Euclidean geometryMathworldPlanetmath for an equilateral triangle.

  • It is a regular polygonMathworldPlanetmath.

  • The bisectorMathworldPlanetmath of any angle coincides with the height, the median and the perpendicular bisector of the .

  • If r is the length of the side, then the height is equal to r32.

  • If r is the length of the side, then the area is equal to r234.

Title equilateral triangle
Canonical name EquilateralTriangle
Date of creation 2013-03-22 11:44:04
Last modified on 2013-03-22 11:44:04
Owner Mathprof (13753)
Last modified by Mathprof (13753)
Numerical id 22
Author Mathprof (13753)
Entry type Definition
Classification msc 51-00
Classification msc 81-00
Classification msc 08-01
Related topic Triangle
Related topic IsoscelesTriangle
Related topic EquivalentConditionsForTriangles
Related topic EquiangularTriangle
Related topic RegularTriangle