Answer:
a = 1
Step-by-step explanation:
It is an isosceles triangle (angle 45°, 90°, 45°), therefore a = b
Using pitagoras:
[tex](\sqrt{2} )^{2}=a^{2}+a^{2} \\2 = 2a^{2} \\\frac{2}{2} = a^{2} \\1 = a^{2}\\1 = a[/tex]
