Triangles and angles

[franktaw at netscape.net]

Consider all triangles with integral sides, no side longer than n.

How many different triangles are there, up to similarity?  I.e., how 
many triples a,b,c with a<=b<=c<a+b, c <= n, and gcd(a,b,c) = 1?

How many different angles do those triangles have?

Franklin T. Adams-Watters

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