A primitive right triangle is a right triangle having integer sides greatest
common divisor . The set of values primitive
Pythagorean triple .
The smallest known area shared by three primitive right triangles is 13123110, corresponding to the triples (4485, 5852, 7373), (1380, 19019,
19069), and (3059, 8580, 9109) (Beiler 1966, p. 127; Gardner 1984, p. 160),
as discovered by C. L. Shedd in 1945.
See also Primitive Pythagorean Triple ,
Pythagorean Triangle ,
Pythagorean
Triple ,
Right Triangle
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References Beiler, A. H. "The Eternal Triangle." Ch. 14 in Recreations
in the Theory of Numbers: The Queen of Mathematics Entertains. Gardner, M. The
Sixth Book of Mathematical Games from Scientific American. Referenced on Wolfram|Alpha Primitive Right Triangle
Cite this as:
Weisstein, Eric W. "Primitive Right Triangle."
From MathWorld https://mathworld.wolfram.com/PrimitiveRightTriangle.html
Subject classifications
, 
, and 
such that 
, where 
is the greatest
common divisor. The set of values 
is then known as a primitive
Pythagorean triple.
