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Pythagorean Triples Let’s find special right triangles where all three right triangles had whole numbers for sides, namely: 9 : 40 : 41, 12 : 35 : 37, 7 : 24 : 25 and
5 : 12 : 13 triangle (actually 10:24:26, but that's similar to
a 5:12:13 triangle). And no doubt you already know about the 3:4:5
right triangle. So, are there other special right triangles
whose sides are all whole numbers? Yes, and they've been studied for a
long time. Three numbers But the Old Babylonians of about 1800 B.C. know
them all, and many were known in other ancient civilizations such as
China and India. Here's a modern paraphrase of Euclid. Take any
two odd numbers Let
3 : 4 : 5. |

"Chance favors the prepared mind." - Louis Pasteur |