Define a primitive inverse Pythagorean triplet as any ordered triplet (x,y,z) where x,y,z∈Z+ and gcd(x,y,z)=1 such that
x21+y21=z21
Which of the following statements are true for any primitive inverse Pythagorean triplet (x,y,z) where x21+y21=z21?
- A: There are infinitely many primitive inverse Pythagorean triplets.
- B: Each of yxz, xyz, and zxy will be perfect squares.
- C: (x,y,x2+y2) will form a Pythagorean triplet (in other words, x2+y2 is an integer).
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