And a 3-4-5 triangle is simply the smallest integer right triangle known where the area is also an integer namely (6 Square Units). Right triangles having integer (whole number) sides are known as "Pythagoran Triangles".

Besides,  according to several websites the actual origin of the 3-4-5 right triangle is most likley unknown. This means that whom ever first discovered or comprehended the 3-4-5 right triangle's existence has no historical reference as to the place, time, and circumstances of its discovery. The discovery of the 3-4-5 right triangle was probably known some time before 1900 BC to 1600 BC.

The Babylonians were the first to document the existance of the 3-4-5 right triangle and several other integer sided right triangles as recorded on a Babylonian Clay Tablet known as "Plimpton 322" using cuneiform script made by pressing styles into moist soft clay.

The statement of the Theorem was discovered on a Babylonian tablet circa 1900-1600 B.C. (the same tablet mentioned before). Whether Pythagoras (c.560-c.480 B.C.) or someone else from his School was the first to discover its proof can't be claimed with any degree of credibility.

Pythagoras didn't discover the theorem - he simply proved it.  One of Pythagoras's proofs included the 3-4-5 triangle.  Multiples of that, such as the ones you listed, are the same.


2/24/2002 12:38:23 PM Pacific Standard Time, [EMAIL PROTECTED] writes:



No, you are mistaken. These are two diferent methods. Pythagorean theorem is as I stated. Pythagoras was a greek mathematician. His theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. A squared +b squared = c squared. The 3-4-5 method states that a triangle with sides divisible by 3, 4, and 5 respectively will always be a right triangle. The egyptians came up with this one for planting straight rows of corn, and I used it many times to build square houses, as recently as last week. Try it. 3,4,5,-15,20,25- 6,8,10-etc.




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