Orthocenter

Pronunciation: /ˈɔrθ əˌsɛn tər/ ?

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Manipulative 1: Orthocenter of a triangle. Created with GeoGebra.

The orthocenter of a triangle is the point where the altitudes of the triangle coincide.[1] The orthocenter may on the interior the triangle, on the boundary of the triangle or on the exterior of the triangle.

Click on the blue points in manipulative 1 and drag them to change the figure.

Discovery

  1. For what class of triangle is the orthocenter on the interior of the triangle?
  2. For what class of triangle is the orthocenter on the boundary of the triangle?
  3. For what class of triangle is the orthocenter on the exterior of the triangle?

References

  1. orthocenter. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=orthocenter&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.

Cite this article as:


Orthocenter. 2009-12-21. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/o/orthocenter.html.

Translations

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Revision History


2009-12-21: Added "References" (McAdams, David.)
2008-12-30: Initial version (McAdams, David.)

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