Incircle Radius

Try setting the triangle's side lengths to form a Pythagorean triple - for example you could use 3,4,5 or 5,12,13 or 8,15,17.
What do you notice about the incircle radius in these cases?

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BC
AC
AB
Incircle radius

Does this hold for all Pythagorean triples?
Why?

App generated by Geometry Expressions