1)
[tex] {15}^{2} + {8}^{2} = {c}^{2} \\ 225 + 64 = {c}^{2} \\ {c}^{2} = 289 \\ c = 17[/tex]
2)
[tex] {2}^{2} + {b}^{2} = {10}^{2} \\ {b}^{2} = {10}^{2} - {2}^{2} \\ {b}^{2} = 100 - 4 \\ {b}^{2} = 96 \\ b = 4 \sqrt{6} [/tex]
3)
[tex] {10}^{2} + {(5 \sqrt{2} )}^{2} = {c}^{2} \\ 100 + 50 = {c}^{2} \\ {c}^{2} = 150 \\ c = 5 \sqrt{6} [/tex]
4)
[tex] {a}^{2} + {(4 \sqrt{5} )}^{2} = {12}^{2} \\ {a}^{2} = {12}^{2} - {(4 \sqrt{5} )}^{2} \\ {a}^{2} = 144 - 80 \\ {a}^{2} = 64 \\ a = 8[/tex]
