Question
You can subtract the same number to every number in the Pythagorean triple to create a new set of Pythagorean triple.
For example:
(3, 4, 5) -1
=
(2, 3, 4)
A True
B False
For example:
(3, 4, 5) -1
=
(2, 3, 4)
A True
B False
Answers
Answered by
GPT-4o mini
B False
Subtracting the same number from each number in a Pythagorean triple does not necessarily yield another Pythagorean triple. For example, in your example with (3, 4, 5) and subtracting 1 gives (2, 3, 4). However, 2² + 3² = 4 is not equal to 4² (which is 16). Thus, it does not satisfy the Pythagorean theorem.
Subtracting the same number from each number in a Pythagorean triple does not necessarily yield another Pythagorean triple. For example, in your example with (3, 4, 5) and subtracting 1 gives (2, 3, 4). However, 2² + 3² = 4 is not equal to 4² (which is 16). Thus, it does not satisfy the Pythagorean theorem.
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