Primitive Right Triangle
A primitive right triangle is a right triangle having integer sides 
, 
, and 
such that 
, where 
is the
greatest common divisor. The set of values
is then known as a 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.
Contact the MathWorld Team
30-60-90 triangle
