5.
[tex] {2}^{2} + {(4 \sqrt{2}) }^{2} = {y}^{2} [/tex]
[tex]4 + 32 = {y}^{2} [/tex]
[tex] {y}^{2} = 36[/tex]
[tex]y = \sqrt{36} = 6[/tex]
6.
[tex] {z}^{2} + {z}^{2} = {(3 \sqrt{2}) }^{2} [/tex]
[tex] {2z}^{2} = 18 | \div 2[/tex]
[tex] {z}^{2} = 9[/tex]
[tex]z = \sqrt{9} = 3[/tex]
