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...

for any positive integer k. A triangle whose side lengths are a Pythagorean triple is a right triangle and called a Pythagorean triangle. A primitive Pythagorean...

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...

triples are Heronian, meaning they have integer area as well as integer sides. The possible use of the 3 : 4 : 5 triangle in Ancient Egypt, with the supposed...

acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). An obtuse triangle (or obtuse-angled triangle) is a triangle...

A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples...

} No two non-congruent triangles share the same set of three internal angle bisector lengths. There exist integer triangles with a rational angle bisector...

Heronian triangle Integer triangle Pythagorean triple Eisenstein triple Bermuda Triangle Historic Triangle Lithium Triangle Parliamentary Triangle, Canberra...

Heronian triangle Integer triangle Law of cosines Law of sines Law of tangents Lester's theorem List of triangle inequalities List of triangle topics Modern...

of achiral integer partitions of 51 1581 = number of edges in the hexagonal triangle T(31) 1582 = a number such that the integer triangle [A070080(1582)...

A right triangle or right-angled triangle, sometimes called an orthogonal triangle or rectangular triangle, is a triangle in which two sides are perpendicular...

are[citation needed] Vertex = <integer>; // v Edge = <integer, integer>; // v0, v1 Triangle <integer,integer,integer>; // v0, v1, v2 VData = <application-specific...

The On-Line Encyclopedia of Integer Sequences (OEIS) is an online database of integer sequences. It was created and maintained by Neil Sloane while researching...

and all of their side lengths are positive integers. Triangles with this property are called Heronian triangles; cyclic quadrilaterals with this property...

do not exist two integer-sided right triangles in which the two legs of one triangle are the leg and hypotenuse of the other triangle. More abstractly...

set of integers which are the lengths of the sides of a triangle where one of the angles is 60 or 120 degrees. The relation of such triangles to the Eisenstein...

/twoː/, /twuː/, and finally /tuː/. An integer is determined to be even if it is divisible by 2. For integers written in a numeral system based on an...

Sloane, N. J. A. (ed.), "Sequence A008284 (Triangle of partition numbers)", The On-Line Encyclopedia of Integer Sequences, OEIS Foundation Arndt, Jörg (2011)...

( z + 1 ) {\displaystyle z!=\Gamma (z+1)} , Pascal's triangle can be extended beyond the integers to C {\displaystyle \mathbb {C} } , since Γ ( z + 1 )...

the polygon into triangles with three integer vertices and no other integer points. One can then prove that each subdivided triangle has area exactly...

A magic triangle is a magic arrangement of the integers from 1 to n to triangular figure. A magic triangle or perimeter magic triangle is an arrangement...

There is a primitive integer-sided automedian triangle that is not generated from a right triangle: namely, the equilateral triangle with sides of unit...

group Primitive root of unity; See Root of unity Primitive triangle, an integer triangle whose sides have no common prime factor Primitive (phylogenetics)...

trapezoid Triangle Acute and obtuse triangles Equilateral triangle Euler's line Heron's formula Integer triangle Heronian triangle Isosceles triangle List...

This is a list of notable integer sequences with links to their entries in the On-Line Encyclopedia of Integer Sequences. OEIS core sequences Index to...

Bernoulli's triangle is an array of partial sums of the binomial coefficients. For any non-negative integer n and for any integer k included between 0...

For any integer n ≥ 4 {\displaystyle n\geq 4} , any triangle can be partitioned into n {\displaystyle n} isosceles triangles. In a right triangle, the median...

triangle formed by two diagonals and a side of a regular pentagon is called a golden triangle or sublime triangle. It is an acute isosceles triangle with...

3 {\displaystyle \mathrm {D} _{3}} . The integer-sided equilateral triangle is the only triangle with integer sides, and three rational angles as measured...

triangle, which counts permutations with a given number of ascents Floyd's triangle, whose entries are all of the integers in order Hosoya's triangle...