Since the two legs have the same length, the two acute angles must be equal, so they are each $\displaystyle{{45}}^{\circ}\usepackage{cmbright}\Huge\$ .

In a $\displaystyle{{45}}^{\circ}-{{45}}^{\circ}-{{90}}^{\circ}\usepackage{cmbright}\Huge\$ triangle, the length of the hypotenuse is $\displaystyle\sqrt{{2}}\usepackage{cmbright}\Huge\$ times the length of the leg. You may have divided by $\displaystyle\sqrt{{2}}\usepackage{cmbright}\Huge\$ instead. The correct answer is 6.