A 45∘45^\circ45∘-45∘45^\circ45∘-90∘90^\circ90∘ triangle has hypotenuse 2\sqrt{2}2. What are the leg lengths?
111 and 111
111 and 2\sqrt{2}2
2\sqrt{2}2 and 2\sqrt{2}2
12\frac{1}{2}21 and 32\frac{\sqrt{3}}{2}23