Will Ravi help here?

Algebra Level 3

Let x,y,x, y, and z z be lengths of the sides of a triangle such that x+y+z=2x + y + z = 2.

The range of xy+yz+zxxyz xy + yz + zx - xyz is (m,n] (m, n ] .

If m+n=abm+n = \frac{a}{b}, where aa and bb are coprime positive integers, what is a+ba+b?

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