A Pythagorean triangle is a right triangle with integer side lengths (i.e., whose side lengths form a Pythagorean triple). A Pythagorean triangle with is known as a primitive right triangle.

The inradius of a Pythagorean triangle is always an integer since

The area of such a triangle is also an integer since at least one of or must be even, so

is always a positive integer.

See also

Primitive Right Triangle, Pythagorean Triple, Right Triangle

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Cite this as:

Weisstein, Eric W. "Pythagorean Triangle." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PythagoreanTriangle.html

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