Answer:
1. g = 4
Solution:
[tex]f^{2} + g^{2} = h^{2}\\3^{2} + g^{2} = 5 ^{2}\\9 + g^{2} = 25\\g^{2} = 25 - 9\\g^{2} = 16\\g = 4[/tex]
2. h = 13
Solution:
[tex]f^{2} + g^{2} = h^{2}\\5^{2} + 12^{2} = h^{2}\\25 + 144 = 25\\h^{2} = 169\\h = 13[/tex]
3. f = 7
Solution:
[tex]f^{2} + g^{2} = h^{2}\\f^{2} + 24^{2} = 25 ^{2}\\f^{2} + 576 = 625\\f^{2} = 625 - 576\\f^{2} = 49\\f = 7[/tex]
4. h = 17
Solution:
[tex]f^{2} + g^{2} = h^{2}\\8^{2} + 15^{2} = h^{2}\\64 + 225 = h^{2}\\h^{2} = 289\\h = 17[/tex]
5. g = 40
