Altitude (geometry): Difference between revisions

From Citizendium
Jump to navigation Jump to search
imported>Richard Pinch
(new entry, just a placeholder, needs more work)
 
imported>Richard Pinch
(concurrent, feet, orthic triangle)
Line 1: Line 1:
In [[triangle geometry]], an '''altitude''' is a line from a vertex perpendicular to the opposite side.  It is an example of a [[Cevian line]].
In [[triangle geometry]], an '''altitude''' is a line from a vertex perpendicular to the opposite side.  It is an example of a [[Cevian line]].  The three altitudes are concurrent, meeting in the '''orthocentre'''.  The feet of the three altitudes form the '''orthic triangle''', and lie on the [[nine-point circle]].

Revision as of 15:47, 24 November 2008

In triangle geometry, an altitude is a line from a vertex perpendicular to the opposite side. It is an example of a Cevian line. The three altitudes are concurrent, meeting in the orthocentre. The feet of the three altitudes form the orthic triangle, and lie on the nine-point circle.