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Question
Write three sets of Pythagorean triplets such that each set has numbers less than 30.
Solution
The three sets of Pythagorean triplets such that each set has numbers less than 30 are 3, 4 and 5; 6, 8 and 10; 5, 12 and 13
Proof:
In 3, 4 and 5
32 + 42 = 52
⇒ 9 + 16 = 25
⇒ 25 = 25
In 6, 8 and 10
62 + 82 = 102
⇒ 36 + 64 = 100
⇒ 100 = 100
In 5, 12, and 13
52 + 122 = 132
⇒ 25 + 144 = 169
⇒ 169 = 169
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