a)
[tex] {5}^{2} + {7}^{2} = {x}^{2} \\ 25 + 49 = {x}^{2} \\ 74 = {x}^{2} \\ x = \sqrt{74} [/tex]
b)
[tex] {2}^{2} + {y}^{2} = (2 \sqrt{37} ) ^{2} \\ 4 + {y}^{2} = 4 \times 37 \\ 4 + {y}^{2} = 148 \\ {y}^{2} = 144 \\ y = \sqrt{144} = 12[/tex]
c)
[tex] {7}^{2} + {z}^{2} = {10}^{2} \\ 49 + {z}^{2} = 100 \\ {z}^{2} = 51 \\ z = \sqrt{51} [/tex]
