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A Pythagorean triple consists of three positive integers ''a'', ''b'', and ''c'', such that . Such a triple is commonly written , and a well-known example is . If 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 ; 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 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. ==Examples== There are 16 primitive Pythagorean triples with : Note, for example, that (6, 8, 10) is ''not'' a primitive Pythagorean triple, as it is a multiple of (3, 4, 5). Each of these low-c points forms one of the more easily recognizable radiating lines in the scatter plot. Additionally these are all the primitive Pythagorean triples with : 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Pythagorean triple」の詳細全文を読む スポンサード リンク
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