equilateral triangle
An equilateral triangle^{} is one for which all 3 sides are congruent.
The following statements hold in Euclidean geometry^{} for an equilateral triangle.

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It is a regular polygon^{}.

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The bisector^{} of any angle coincides with the height, the median and the perpendicular bisector of the .

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If $r$ is the length of the side, then the height is equal to $\frac{r\sqrt{3}}{2}$.

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If $r$ is the length of the side, then the area is equal to $\frac{{r}^{2}\sqrt{3}}{4}$.
Title  equilateral triangle 
Canonical name  EquilateralTriangle 
Date of creation  20130322 11:44:04 
Last modified on  20130322 11:44:04 
Owner  Mathprof (13753) 
Last modified by  Mathprof (13753) 
Numerical id  22 
Author  Mathprof (13753) 
Entry type  Definition 
Classification  msc 5100 
Classification  msc 8100 
Classification  msc 0801 
Related topic  Triangle 
Related topic  IsoscelesTriangle 
Related topic  EquivalentConditionsForTriangles 
Related topic  EquiangularTriangle 
Related topic  RegularTriangle 