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Line Segment Point Opposite Interval Basic Length Geometry Triangle Basic Polygon Perpendicularity In Euclidean Plane Orthocenter Concurrent
| 1 | Triangle |
| 1 | Opposite |
| 1 | Point |
| 1 | Basic Polygon |
| 1 | Geometry |
| 1 | Basic Length |
| 1 | Interval |
| 1 | Line Segment |
| 2 | Perpendicularity In Euclidean Plane |
| 6 | Concurrent |
| 6 | Orthocenter |
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Height Of A Triangle
Let 
be a given triangle. A height of 
is a line segment
drawn from a vertex
to the opposite side
(or its prolongations) and perpendicular
to it. So we have three heights in any triangle. The three heights are always concurrent
and the common point
is called the orthocenter. In Euclidean geometry
the
length
of the segment
"height" is sometimes referred to as the height.
In the following figure, 
and 
are heights of 
.
{$D$}
\rput[l](3.3,2.5){$E$}
\rput[r](1,2.1){$F$}
\end{pspicture}](http://myyn.org/static/assets/mathbrowser/article/2436/images/img6.png)