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'equilateral triangle'
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| Title of object: |
equilateral triangle |
| Canonical Name: |
EquilateralTriangle |
| Type: |
Definition |
| Created on: |
2001-10-06 17:57:14 |
| Modified on: |
2002-05-17 03:13:32 |
| Classification: |
msc:51-00 |
| Keywords: |
Triangle |
| Synonyms: |
equilateral triangle=regular triangle |
Revision comment (for changes between this and next version):
| Changes for correction #3161 ('Some minor things'). |
Preamble:
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{graphicx}
\usepackage{xypic}
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Content:
A triangle with its three sides and its three angles equal.
\begin{center}
\includegraphics{equilat}
\end{center}
Therefore, an equilateral triangle has 3 angles of $60^\circ$.
Due to the congruence criterion side-side-side, an equilateral triangle gets completely detrmined by specifying its side.
In an equilateral triangle, 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 $r\sqrt{3}/2$. |
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