Altitude (geometry): Difference between revisions
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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]]. The area of the triangle is equal to half the product of an altitude and the side it meets. | 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''' (which is thus a [[pedal triangle]]), and lie on the [[nine-point circle]]. The area of the triangle is equal to half the product of an altitude and the side it meets. | ||
Revision as of 16:24, 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 (which is thus a pedal triangle), and lie on the nine-point circle. The area of the triangle is equal to half the product of an altitude and the side it meets.