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  2. Pythagorean triple - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_triple

    A Pythagorean triple consists of three positive integers a, b, and c, such that a 2 + b 2 = c 2. Such a triple is commonly written ... [16] Therefore, c is of the ...

  3. Formulas for generating Pythagorean triples - Wikipedia

    en.wikipedia.org/wiki/Formulas_for_generating...

    Wade and Wade [17] first introduced the categorization of Pythagorean triples by their height, defined as c − b, linking 3,4,5 to 5,12,13 and 7,24,25 and so on. McCullough and Wade [18] extended this approach, which produces all Pythagorean triples when k > h √ 2 /d: Write a positive integer h as pq 2 with p square-free and q positive.

  4. Tree of primitive Pythagorean triples - Wikipedia

    en.wikipedia.org/wiki/Tree_of_primitive...

    Primitive Pythagorean triple a, b, and c are also pairwise coprime. The set of all primitive Pythagorean triples has the structure of a rooted tree, specifically a ternary tree, in a natural way. This was first discovered by B. Berggren in 1934. [1] F. J. M. Barning showed [2] that when any of the three matrices

  5. Pythagorean theorem - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_theorem

    A Pythagorean triple has three positive integers a, b, and c, such that a 2 + b 2 = c 2. In other words, a Pythagorean triple represents the lengths of the sides of a right triangle where all three sides have integer lengths. [1] Such a triple is commonly written (a, b, c). Some well-known examples are (3, 4, 5) and (5, 12, 13).

  6. Integer triangle - Wikipedia

    en.wikipedia.org/wiki/Integer_triangle

    A Pythagorean triangle is right-angled and Heronian. Its three integer sides are known as a Pythagorean triple or Pythagorean triplet or Pythagorean triad. [9] All Pythagorean triples (,,) with hypotenuse which are primitive (the sides having no common factor) can be generated by

  7. Canada's Trudeau returns home after Trump meeting without ...

    www.aol.com/canadas-trudeau-says-had-excellent...

    Canadian Prime Minister Justin Trudeau returned home Saturday after his meeting with Donald Trump without assurances the president-elect will back away from threatened tariffs on all products from ...

  8. Pell number - Wikipedia

    en.wikipedia.org/wiki/Pell_number

    If a right triangle has integer side lengths a, b, c (necessarily satisfying the Pythagorean theorem a 2 + b 2 = c 2), then (a,b,c) is known as a Pythagorean triple. As Martin (1875) describes, the Pell numbers can be used to form Pythagorean triples in which a and b are one unit apart, corresponding to right triangles that are nearly isosceles ...

  9. Today’s NYT ‘Strands’ Hints, Spangram and Answers for Sunday ...

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    Related: 16 Games Like Wordle To Give You Your Word Game Fix More Than Once Every 24 Hours. How To Play Strands. How to play the NYT Strands gameThe New York Times.