Define Pythagorean triple. Prove that radius of the inscribed circle of a pythagorean traingle is always an integer.
A Pythagorean triple is a set of three integers x, y, z such
that x^2+y^2=z^2; the triple is said to be primitive
if gcd (x, y, z) =1.
Prove that the radius of the inscribed circle of a Pythagorean triangle is always an integer.
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