Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{mm}$, side $c = 1\, \text{mm}$, diagonal $d = 1\, \text{mm}$, height $h = 1\, \text{mm}$, median $m = 1\, \text{mm}$, area $A = 1\, \text{mm}^2$, perimeter $P = 1\, \text{mm}$, angle $\alpha = 1^o$ and angle $\beta = 1^o$.