Finding third side of non degenarate triangle

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Given lengths of two sides of triangles $a$ and $b$, I want to calculate the number of possible integral values of length of third side $c$.

I know that range should be : $a-b<c<a+b$, given $a>b$.

Now this is full range for that third side but it also side which will make degenerate triangle $(Area\le 0)$. How do I exclude those sides which make degenerate triangle ?