Question

3² +4² = 5²,

6² + 8² = 10² and
9² + 12² = 15²


Can you prove,using algebraic method,that this relationship will be true for any multiple of the triple,
3, 4, 5?

Prove that the statement
5² +12² =13² will hold true for any multiple of this triple.​

Answer 1

They are all true

Explanation:

1. 3² +4² = 5²

3x3 + 4x4 = 5x5

9 + 16 = 25

25 = 25

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2. 6² + 8² = 10²

36 + 64 = 100

100 = 100

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3. 9² + 12² = 15²

81 + 144 = 225

225 = 225

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4. 5² +12² =13²

25 + 144 = 169

169 =169

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