Thank You Soo Much! You have been extremely helpful. :-)
However the rules that I am using are to find multiple triplets (Sorry for not being clear enough in the original post).
The rules are the following:
a12+b12=c12
a22+b22=c22
a32+b32=c32
a42+b42=c42
a1=b4
b1=a2
b2=a3
b3=a4
a1+b2=L
b1+a4=L
a2+b3=L
a3+b4=L
When all values for a, b, c, and L are whole numbers. Obviously were using m & n to determine the triplets and not a, b, and c, but do I need to define a, b & c from the table? What you gave me is really helpful, but I dont know how to test with different triples simultaneously. Sorry if Im incoherent. Thanks once again!
p.s.
the last four equations just want to determine that a+b is an integer, otherwise L doesnt matter