1.
[tex]d = a \sqrt{2} [/tex]
a)
[tex]2 \sqrt{2} cm[/tex]
b)
[tex]4 \sqrt{2} cm[/tex]
c)
[tex]10 \sqrt{2} cm[/tex]
d)
[tex]20 \sqrt{2} cm[/tex]
2.
a)
[tex] {2}^{2} + {2}^{2} = {d}^{2} \\ 4 + 4 = {d}^{2} \\ 8 = {d}^{2} \\ d = \sqrt{8} = \sqrt{4 \times 2} = 2 \sqrt{2}[/tex]