Pythagorean Triples A right triangle where the sides are in the
ratio of integers. (Integers are whole numbers like 3, 12 etc)
For example, the following are pythagorean triples: There are
infinitely many pythagorean triples. There are 50 with a
hypotenuse less than 100 alone. Here are the first few: 3:4:5 ,
6:8:10 , 5:12:13 , 9:12:15 , 8:15:17 etc...  If you multiply
each side by an integer, the result will be another triple,
demonstrating that there is an infinite number of them.
Remember: it is the ratio of the lengths of the sides that
counts, not the actual length. The units of measurement are thus
irrelevant.  The smallest and perhaps best known triple, the
3:4:5 is explored in greater depth 3-4-5 Triangles.   Related
triangle topics   Perimeter / Area  Triangle types  Triangle
centers  Congruence and Similarity  Solving triangles  Triangle
quizzes and exercises   Math Open Reference now has a Common
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