This graph gives a visual representation for my motivation of finding obtuse and acute triangles.
This is when C=50.
The graphs are (C^2-B^2)^.5, C-B, and B-1
The x-axis represents the different B values.  We are really only interested in what happens from when (C/2)<B<50.  This is to the right of the intersection of the lines.
The integer values between 50-B and B-1 are the possible values for A.  
The curved graph represents our key for differentiating between the different triangles.  If an integer is below that line, then the triangle will be obtuse, for the integers that fall above it, the triangle is acute.  Any integers on the line are right.
We will have to determine the intersection of (C^2-B^2)^.5 and B-1 because we will have to use different formulas for either side.

graph

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