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In page Pythagorean triple:

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The properties of a primitive Pythagorean triple (a, b, c) with a < b < c (without specifying which of a or b is even and which is odd) include:

  • ( c − a ) ( c − b ) 2 {\displaystyle {\tfrac {(c-a)(c-b)}{2}}} is always a perfect square;[1] in fact it is equal to the square of the inradius of the associated right triangle.[citation needed]
  • At most one of a, b, c is a square.[2]