Now that I'm in the world of creating exams, I find that it is helpful to keep as many integers involved as possible so that students don't get hung up on significant figures and rounding. In the end, more integers means easier grading.
Also, the problems (it's a statics class at the moment ... stupid pun) involve lots of right triangles, and one can use a 3-4-5 triangle only so many times before it becomes passé.
A little ruby spits out leg dimensions of uniquely proportioned right triangles with integer legs:
http://codepad.org/O43BQ0H0
(lookUp marks legs that are a multiple)
Output:
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