# Pythagorean Triples

Algebra Level 2

If all the solutions to the equation $$a^2+b^2=c^2$$ are of the form $$b = \frac{s^2-t^2}{2}, c = \frac{s^2+t^2}{2}$$, then what is $$a$$ in terms of $$s$$ and $$t$$?

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