regular triangle

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

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

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

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

• If $r$ is the length of the side, then the area is equal to ${\displaystyle \frac{r^2\sqrt{3}}{4}}$.

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