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ANSWER:

1. a^2 + b^2 = c^2

3^2 + b^2 = 5^2

9 + b^2 = 25

b^2 = 25 - 16

b = 9

b = 3

2. a^2 + b^2 = c^2

5^2 + 12^2 = c^2

25 + 144 = c^2

c^2 = 169

c = 13

3. a^2 + b^2 = c^2

a^2 + 24^2 = 25^2

a^2 + 576 = 625

a^2 = 625 - 576

a^2 = 49

a = 7

4. a^2 + b^2 = c^2

8^2 + 15^2 = c^2

64 + 225 = c^2

c^2 = 289

c = 17

5. a^2 + b^2 = c^2

9^2 + b^2 = 41^2

81 + b^2 = 1681

b^2 = 1681 - 81

b = 1600

b = 40

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