∠A+∠B = 180° - ∠C = 90°
∠A-∠B = 30°
∴∠A = 60°,∠B = 30°
在Rt△ABC中,
a = b*tan∠A = b*(√3)
a-b = 2
∴ a = 3+√3,b=1+√3
∴ c = 2b = 2+2√3