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...artition of the edges of the [[complete graph]] ''K''₅ into two triangle-free subsets]] ...[graph theory]] and [[theoretical computer science]], the '''monochromatic triangle problem''' is an algorithmic problem on graphs, ...

...description|Triangle found by projecting a point onto the sides of another triangle}} [[File:Pedal Triangle.svg|right|thumb| ...

[[Image:Wind triangle.jpg|thumb|right|275px|The wind triangle graphically represents the relationships among velocity vectors used for ai In [[air navigation]], the '''wind triangle''' is a graphical representation of the relationship between [[aircraft]] m ...

{{short description|Geometric problems involving the partition of a figure}} A partition into [[triangle]]s of equal area is called an [[equidissection]]. Most polygons cannot be e ...

[[File:Thebault 1 2 3.svg|thumb|upright=1.0|Thébault's 3 problems]] ...ébault's theorem''' is the name given variously to one of the [[geometry]] problems proposed by the [[France|French]] [[mathematician]] [[Victor Thébault]], in ...

{{short description|Area ratio of one triangle and the triangle formed by the intersections of three cevians}} ...y</math>, and <math>\tfrac{BF}{AF} = z</math>, the signed [[area]] of the triangle formed by the cevians <math>AD</math>, <math>BE</math>, and <math>CF</math> ...

{{short description|Line intersecting both a vertex and opposite edge of a triangle}} ...first = James E. | year = 1975 | title = A new look at the 'centers' of a triangle | journal = [[The Mathematics Teacher]] | volume = 68 | number = 7 | pages ...

...ht|[[Rainbow flag (LGBT movement)|Rainbow flag]] displayed in the Burnside Triangle, near the intersection of West Burnside Street, Southwest 13th Avenue, and The '''Burnside Triangle''', also known as '''Pink Triangle'''<ref>{{cite journal|title=ON THE ROCKS OR BLENDED: THE FUTURE OF THE GAY ...

|zoo_name = Triangle Metro Zoo |image_caption =Triangle Metro Zoo ...

{{short description|Perpendicular line segment from a triangle's side to opposite vertex}} ...ashed line segment) intersects the extended base at D (a point outside the triangle).]] ...

{{Short description|Line segment joining a triangle's vertex to the midpoint of the opposite side}} [[Image:Triangle.Centroid.svg|right|thumb|The triangle medians and the [[centroid]].]] ...

[[File:Monodrafter.png|thumb|30–60–90 triangle]] ...e]] as the base form. This triangle is also called a [[set square|drafting triangle]], hence the name.<ref>{{citation ...

...y as "walks" on [[Pascal's triangle]]. As the name suggests, block walking problems involve counting the number of ways an individual can walk from one corner ...number of paths from A to any such X corresponds to an entry of [[Pascal's triangle]]. ...

...there some constant ''N'' such that every entry (apart from 1) of Pascal's triangle appears fewer than ''N'' times?}} ...ber ''x'' can appear only within the first ''x''&nbsp;+&nbsp;1 rows of the triangle. ...

...vex]] plane-filling polygon, such as a [[Square (geometry)|square]] or a [[triangle]]. More specific names have been given to polyforms resulting from specific Polyforms are a rich source of problems, [[puzzle]]s and [[game]]s. The basic [[combinatorial]] problem is counting ...

...gle''' when planning its campaigns in this region. Although the term "Ixil Triangle" has been used in some popular handbooks.,<ref>{{Cite book |title=Moon Hand ...conomic prosperity and abandonment of the culture and language are present problems. Most men are farmers, and most women are weavers. ...

| footer = Eves pointed out in 1946 that in an [[isosceles triangle]] with a sharp apex, a [[greedy algorithm]] (below) constructs a stack of 3 | image1 = Malfatti's circles in sharp isosceles triangle.svg ...

...is one of [[David Hilbert]]'s [[Hilbert problems|list of open mathematical problems]] posed in 1900. It concerns the [[irrational number|irrationality]] and [[ #In an [[isosceles triangle]], if the ratio of the base [[angle]] to the angle at the vertex is [[algeb ...

== Major open problems == The unsolved problems relating to discrepancy theory include: ...

*[[Simplex]], a term in geometry meaning an n-dimensional analogue of a triangle *[[Pascal's simplex]], a version of Pascal's triangle of more than three dimensions ...