You are here
Homeequilateral triangle
Primary tabs
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.

It is a regular polygon.

The bisector of any angle coincides with the height, the median and the perpendicular bisector of the opposite side.

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 $\displaystyle\frac{r^{2}\sqrt{3}}{4}$.
Keywords:
Triangle
Related:
Triangle, IsoscelesTriangle, EquivalentConditionsForTriangles, EquiangularTriangle, RegularTriangle
Type of Math Object:
Definition
Major Section:
Reference
Groups audience:
Mathematics Subject Classification
5100 no label found8100 no label found0801 no label found Forums
 Planetary Bugs
 HS/Secondary
 University/Tertiary
 Graduate/Advanced
 Industry/Practice
 Research Topics
 LaTeX help
 Math Comptetitions
 Math History
 Math Humor
 PlanetMath Comments
 PlanetMath System Updates and News
 PlanetMath help
 PlanetMath.ORG
 Strategic Communications Development
 The Math Pub
 Testing messages (ignore)
 Other useful stuff
 Corrections