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The three altitudes of a triangle intersect at the orthocenter, which for an acute triangle is inside the triangle.. The orthocenter of a triangle, usually denoted by H, is the point where the three (possibly extended) altitudes intersect.
In geometry, a triangle center or triangle centre is a point in the triangle's plane that is in some sense in the middle of the triangle. For example, the centroid, circumcenter, incenter and orthocenter were familiar to the ancient Greeks, and can be obtained by simple constructions.
the orthocentre, the intersection of the triangle's three altitudes; and the nine-point centre , the centre of the circle that passes through nine key points of the triangle. For an equilateral triangle , these are the same point, which lies at the intersection of the three axes of symmetry of the triangle, one third of the distance from its ...
Altitudes can be used in the computation of the area of a triangle: one-half of the product of an altitude's length and its base's length (symbol b) equals the triangle's area: A = h b /2. Thus, the longest altitude is perpendicular to the shortest side of the triangle.
In geometry, the Euler line, named after Leonhard Euler (/ ˈ ɔɪ l ər / OY-lər), is a line determined from any triangle that is not equilateral.It is a central line of the triangle, and it passes through several important points determined from the triangle, including the orthocenter, the circumcenter, the centroid, the Exeter point and the center of the nine-point circle of the triangle.
Orthocentric system.Any point is the orthocenter of the triangle formed by the other three. In geometry, an orthocentric system is a set of four points on a plane, one of which is the orthocenter of the triangle formed by the other three.
City law enforcement quickly declared the crash a “major incident” and urged residents to stay away from the area. Read the full article here: Plane crash in Philadelphia: What we know after ...
The area of a triangle can be demonstrated, for example by means of the congruence of triangles, as half of the area of a parallelogram that has the same base length and height. A graphic derivation of the formula T = h 2 b {\displaystyle T={\frac {h}{2}}b} that avoids the usual procedure of doubling the area of the triangle and then halving it.