The ratio of the angle measures and the side lengths opposite them in the [tex] 45^o [/tex] special triangle is given by [tex] 45:45:90\equiv1:1:\sqrt{2} [/tex].
Thus, [tex] u:v:8\sqrt{2}\equiv1:1:\sqrt{2}\equiv8:8:8\sqrt{2} [/tex]
Therefore, u = v = 8.
