regular triangle

A regular triangle is one for which all sides are congruent and all interior anglesMathworldPlanetmath are congruent.


All regular triangles are regular polygonsMathworldPlanetmath. Also, by the isosceles triangle theorem, the bisectorMathworldPlanetmath of any angle coincides with the height, the median and the perpendicular bisector of the opposite side.

The following statements hold in Euclidean geometryMathworldPlanetmath for a regular triangle.

  • 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 regular triangle
Canonical name RegularTriangle
Date of creation 2013-03-22 17:12:52
Last modified on 2013-03-22 17:12:52
Owner Wkbj79 (1863)
Last modified by Wkbj79 (1863)
Numerical id 6
Author Wkbj79 (1863)
Entry type Definition
Classification msc 51-00
Related topic Triangle
Related topic IsoscelesTriangle
Related topic EquilateralTriangle
Related topic EquiangularTriangle
Related topic EquivalentConditionsForTriangles
Related topic RegularPolygon