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- Altitude_(triangle) abstract "An altitude is the perpendicular segment from a vertex to its opposite side. In geometry, an altitude of a triangle is a straight line through a vertex and perpendicular to (i.e. forming a right angle with) a line containing the base (the opposite side of the triangle). This line containing the opposite side is called the extended base of the altitude. The intersection between the extended base and the altitude is called the foot of the altitude. The length of the altitude, often simply called the altitude, is the distance between the base and the vertex. The process of drawing the altitude from the vertex to the foot is known as dropping the altitude of that vertex. It is a special case of orthogonal projection.Altitudes can be used to compute the area of a triangle: one half of the product of an altitude's length and its base's length equals the triangle's area. Thus the longest altitude is perpendicular to the shortest side of the triangle. The altitudes are also related to the sides of the triangle through the trigonometric functions.In an isosceles triangle (a triangle with two congruent sides), the altitude having the incongruent side as its base will have the midpoint of that side as its foot. Also the altitude having the incongruent side as its base will form the angle bisector of the vertex.It is common to mark the altitude with the letter h (as in height), often subscripted with the name of the side the altitude comes from.In a right triangle, the altitude with the hypotenuse c as base divides the hypotenuse into two lengths p and q. If we denote the length of the altitude by hc, we then have the relation (Geometric mean theorem)".
- Altitude_(triangle) thumbnail Triangle.Orthocenter.svg?width=300.
- Altitude_(triangle) wikiPageExternalLink FagnanosProblem.
- Altitude_(triangle) wikiPageExternalLink constorthocenter.html.
- Altitude_(triangle) wikiPageExternalLink triangleorthocenter.html.
- Altitude_(triangle) wikiPageExternalLink X0004.html.
- Altitude_(triangle) wikiPageID "161241".
- Altitude_(triangle) wikiPageRevisionID "599765005".
- Altitude_(triangle) hasPhotoCollection Altitude_(triangle).
- Altitude_(triangle) title "Altitude".
- Altitude_(triangle) urlname "Altitude".
- Altitude_(triangle) subject Category:Triangle_geometry.
- Altitude_(triangle) subject Category:Triangles.
- Altitude_(triangle) type Abstraction100002137.
- Altitude_(triangle) type Attribute100024264.
- Altitude_(triangle) type Figure113862780.
- Altitude_(triangle) type PlaneFigure113863186.
- Altitude_(triangle) type Polygon113866144.
- Altitude_(triangle) type Shape100027807.
- Altitude_(triangle) type Triangle113879320.
- Altitude_(triangle) type Triangles.
- Altitude_(triangle) comment "An altitude is the perpendicular segment from a vertex to its opposite side. In geometry, an altitude of a triangle is a straight line through a vertex and perpendicular to (i.e. forming a right angle with) a line containing the base (the opposite side of the triangle). This line containing the opposite side is called the extended base of the altitude. The intersection between the extended base and the altitude is called the foot of the altitude.".
- Altitude_(triangle) label "Altitude (triangle)".
- Altitude_(triangle) label "Hauteur d'un triangle".
- Altitude_(triangle) label "Hoogtelijn (driehoek)".
- Altitude_(triangle) label "Wysokość trójkąta".
- Altitude_(triangle) label "Высота треугольника".
- Altitude_(triangle) label "ارتفاع (مثلث)".
- Altitude_(triangle) sameAs Hauteur_d'un_triangle.
- Altitude_(triangle) sameAs Hoogtelijn_(driehoek).
- Altitude_(triangle) sameAs Wysokość_trójkąta.
- Altitude_(triangle) sameAs m.015bzh.
- Altitude_(triangle) sameAs Q339495.
- Altitude_(triangle) sameAs Q339495.
- Altitude_(triangle) sameAs Altitude_(triangle).
- Altitude_(triangle) wasDerivedFrom Altitude_(triangle)?oldid=599765005.
- Altitude_(triangle) depiction Triangle.Orthocenter.svg.
- Altitude_(triangle) isPrimaryTopicOf Altitude_(triangle).
