Is there exist postive integer $a,b,c,x,y,p,q$,such $(a,b,c),(x,y,a),(p,q,b)$ are a Pythagorean triple?
I.e $$\begin{cases} a^2+b^2=c^2\\ x^2+y^2=a^2\\ p^2+q^2=b^2 \end{cases}$$ have postive integers solution?
is exist such $(a,b,c),(x,y,a),(p,q,b)$ are a Pythagorean triple?
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