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- Pythagorean_triple abstract "A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. Such a triple is commonly written (a, b, c), and a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are coprime. A right triangle whose sides form a Pythagorean triple is called a Pythagorean triangle.The name is derived from the Pythagorean theorem, stating that every right triangle has side lengths satisfying the formula a2 + b2 = c2; thus, Pythagorean triples describe the three integer side lengths of a right triangle. However, right triangles with non-integer sides do not form Pythagorean triples. For instance, the triangle with sides a = b = 1 and c = √2 is right, but (1, 1, √2) is not a Pythagorean triple because √2 is not an integer. Moreover, 1 and √2 do not have an integer common multiple because √2 is irrational.".
- Pythagorean_triple thumbnail Pythagorean.svg?width=300.
- Pythagorean_triple wikiPageExternalLink pytha.pdf.
- Pythagorean_triple wikiPageExternalLink Curious%20Consequences.pdf.
- Pythagorean_triple wikiPageExternalLink feb06sol.php.
- Pythagorean_triple wikiPageExternalLink PythagoreanTriple.html.
- Pythagorean_triple wikiPageExternalLink PythagTrip02.pdf.
- Pythagorean_triple wikiPageExternalLink PT_matrix.shtml.
- Pythagorean_triple wikiPageExternalLink pythTriple.shtml.
- Pythagorean_triple wikiPageExternalLink pythag.htm.
- Pythagorean_triple wikiPageExternalLink pythagen.htm.
- Pythagorean_triple wikiPageExternalLink frint.html.
- Pythagorean_triple wikiPageExternalLink frintch2ch3.pdf.
- Pythagorean_triple wikiPageExternalLink hilbert.pdf.
- Pythagorean_triple wikiPageExternalLink pythagoreantriples.html.
- Pythagorean_triple wikiPageExternalLink 44Cliffpdf.pdf.
- Pythagorean_triple wikiPageExternalLink pt.pdf.
- Pythagorean_triple wikiPageExternalLink pythag.html.
- Pythagorean_triple wikiPageExternalLink negative_pell.html.
- Pythagorean_triple wikiPageExternalLink InCircle.pdf.
- Pythagorean_triple wikiPageID "24172".
- Pythagorean_triple wikiPageRevisionID "604973165".
- Pythagorean_triple hasPhotoCollection Pythagorean_triple.
- Pythagorean_triple title "Pythagorean Triple".
- Pythagorean_triple urlname "PythagoreanTriple".
- Pythagorean_triple subject Category:Arithmetic_problems_of_plane_geometry.
- Pythagorean_triple subject Category:Diophantine_equations.
- Pythagorean_triple subject Category:Triangle_geometry.
- Pythagorean_triple type Abstraction100002137.
- Pythagorean_triple type ArithmeticProblemsOfPlaneGeometry.
- Pythagorean_triple type Attribute100024264.
- Pythagorean_triple type Communication100033020.
- Pythagorean_triple type Condition113920835.
- Pythagorean_triple type Difficulty114408086.
- Pythagorean_triple type DiophantineEquations.
- Pythagorean_triple type Equation106669864.
- Pythagorean_triple type MathematicalStatement106732169.
- Pythagorean_triple type Message106598915.
- Pythagorean_triple type Problem114410605.
- Pythagorean_triple type State100024720.
- Pythagorean_triple type Statement106722453.
- Pythagorean_triple comment "A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. Such a triple is commonly written (a, b, c), and a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are coprime.".
- Pythagorean_triple label "Pythagorean triple".
- Pythagorean_triple label "Pythagoreisches Tripel".
- Pythagorean_triple label "Pythagorese drietallen".
- Pythagorean_triple label "Terna pitagorica".
- Pythagorean_triple label "Terna pitagórica".
- Pythagorean_triple label "Terno pitagórico".
- Pythagorean_triple label "Triplet pythagoricien".
- Pythagorean_triple label "Trójki pitagorejskie".
- Pythagorean_triple label "Пифагорова тройка".
- Pythagorean_triple label "ثلاثية فيثاغورس".
- Pythagorean_triple label "勾股数".
- Pythagorean_triple sameAs Pythagorejská_trojice.
- Pythagorean_triple sameAs Pythagoreisches_Tripel.
- Pythagorean_triple sameAs Πυθαγόρεια_τριάδα.
- Pythagorean_triple sameAs Terna_pitagórica.
- Pythagorean_triple sameAs Triplet_pythagoricien.
- Pythagorean_triple sameAs Terna_pitagorica.
- Pythagorean_triple sameAs 피타고라스_수.
- Pythagorean_triple sameAs Pythagorese_drietallen.
- Pythagorean_triple sameAs Trójki_pitagorejskie.
- Pythagorean_triple sameAs Terno_pitagórico.
- Pythagorean_triple sameAs m.060zd.
- Pythagorean_triple sameAs Q208225.
- Pythagorean_triple sameAs Q208225.
- Pythagorean_triple sameAs Pythagorean_triple.
- Pythagorean_triple wasDerivedFrom Pythagorean_triple?oldid=604973165.
- Pythagorean_triple depiction Pythagorean.svg.
- Pythagorean_triple isPrimaryTopicOf Pythagorean_triple.