It is impossible

Good gueation.Let a,c,d e are 4 sides,b,f diagonals.We can get d^2=b^2+e^2-{(a^2+e^2-f^2)(a^2+b^2-c^2)+sqr[4a^2e^2-(a^2+e^2-f^2)^2]*sqr[4a^2b^2-(a^2+e^2-c^2)^2]}/2a^2.The third term can't be interger as a,b ,c,e, f are odd.