Consider again the triangle classification program with a slightly different specification:

The program reads floating values from the standard input. The three values A, B, and C are interpreted as representing the lengths of the sides of a triangle. The program then prints a message to the standard output that states whether the triangle, if it can be formed, is scalene, isosceles, equilateral, or right angled. Determine the following for the above program:

(a) For the boundary condition A +B > C case (scalene triangle), identify test cases to verify the boundary.

(b) For the boundary condition A = C case (isosceles triangle), identify test cases to verify the boundary.

(c) For the boundary condition A = B = C case (equilateral triangle), identify test cases to verify the boundary.

(d) For the boundary condition A2 + B2 = C2 case (right-angle triangle), identify test cases to verify the boundary.

(e) For the nontriangle case, identify test cases to explore the boundary.

(f) For nonpositive input, identify test points.