geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly...
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The median triangle of a given (reference) triangle is a triangle, the sides of which are equal and parallel to the medians of its reference triangle. The...
2 KB (139 words) - 13:42, 28 November 2024
A right triangle or right-angled triangle, sometimes called an orthogonal triangle or rectangular triangle, is a triangle in which two sides are perpendicular...
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In plane geometry, an automedian triangle is a triangle in which the lengths of the three medians (the line segments connecting each vertex to the midpoint...
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Medes (redirect from Median people)
archeological sources has mostly focused in an area known as the "Median triangle", defined roughly as the region bounded by Hamadan and Malayer (in...
72 KB (9,188 words) - 23:58, 21 May 2025
Euclid. Equilateral triangle Isosceles triangle Scalene triangle Right triangle Acute triangle Obtuse triangle All types of triangles are commonly found...
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are not right triangles because they do not have any right angles (90°). In all triangles, the centroid—the intersection of the medians, each of which...
13 KB (2,153 words) - 09:46, 10 September 2024
The medial triangle is not the same thing as the median triangle, which is the triangle whose sides have the same lengths as the medians of △ABC. Each...
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median graph only when G is triangle-free: if a, b, and c form a triangle in G, then {a,b}, {a,c}, and {b,c} have no median in H, for such a median would...
46 KB (6,003 words) - 06:48, 12 May 2025
the median from the apex to the midpoint of the base, the perpendicular bisector of the base within the triangle, the segment within the triangle of the...
38 KB (4,157 words) - 15:47, 24 March 2025
highest-value halves Median (geometry), in geometry, a line joining a vertex of a triangle to the midpoint of the opposite side Median (graph theory), a...
2 KB (353 words) - 18:01, 31 October 2024
than 120°, the geometric median is the point inside the triangle which subtends an angle of 120° to each three pairs of triangle vertices. This is also...
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values of trigonometric functions of those angles, the area of the triangle, the medians of the sides, the altitudes, the lengths of the internal angle bisectors...
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Apollonius's theorem (category Theorems about triangles)
the length of a median of a triangle to the lengths of its sides. It states that the sum of the squares of any two sides of any triangle equals twice the...
7 KB (776 words) - 09:17, 27 March 2025
In geometry, an altitude of a triangle is a line segment through a given vertex (called apex) and perpendicular to a line containing the side or edge opposite...
9 KB (1,334 words) - 18:39, 21 April 2025
Symmedian (category Straight lines defined for a triangle)
three particular lines associated with every triangle. They are constructed by taking a median of the triangle (a line connecting a vertex with the midpoint...
7 KB (849 words) - 21:01, 28 March 2025
An equilateral triangle is a triangle in which all three sides have the same length, and all three angles are equal. Because of these properties, the equilateral...
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An integer triangle or integral triangle is a triangle all of whose side lengths are integers. A rational triangle is one whose side lengths are rational...
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Triangle is a census-designated place (CDP) in southeastern Prince William County, Virginia, United States. The population was 8,188 at the 2010 census...
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Centroid (redirect from Triangle centroid)
has no fixed point. The centroid of a triangle is the intersection of the three medians of the triangle (each median connecting a vertex with the midpoint...
26 KB (4,242 words) - 05:08, 1 March 2025
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,...
32 KB (3,896 words) - 00:24, 25 April 2025
and only if the triangle is equilateral. There are infinitely many lines that bisect the area of a triangle. Three of them are the medians, which are the...
20 KB (3,535 words) - 11:46, 13 May 2025
Fermat point (category Triangle centers)
each of the three vertices of the triangle to the point is the smallest possible or, equivalently, the geometric median of the three vertices. It is so...
21 KB (3,133 words) - 08:55, 11 January 2025
Midpoint theorem (triangle) Midpoint theorem (conics) Midpoint theorem, describing the properties of medians in a triangle: see Median (triangle) Midpoint theorem...
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Bisection (redirect from Perpendicular bisectors of a triangle)
infinitude of lines that bisect the area of a triangle. Three of them are the medians of the triangle (which connect the sides' midpoints with the opposite...
20 KB (3,093 words) - 17:28, 6 February 2025
Cevian (category Straight lines defined for a triangle)
a line segment which joins a vertex of a triangle to a point on the opposite side of the triangle. Medians and angle bisectors are special cases of cevians...
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Heronian triangle (or Heron triangle) is a triangle whose side lengths a, b, and c and area A are all positive integers. Heronian triangles are named...
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showed, triangle-free graph recognition is equivalent in complexity to median graph recognition; however, the current best algorithms for median graph recognition...
21 KB (2,524 words) - 06:45, 12 May 2025
Triangle is a town in Broome County, New York, United States. The population was 2,946 at the 2010 census. The town's primary settlement is the village...
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industry in the Emerald Triangle. While the largest legal pot farm in the county was 8 acres (3.2 ha), a 2021 survey found the median pot farm size to be...
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