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.
