Pergunta
![Pythagorean triple
not a Pythagorean triple
square
Add an answer icem!
Answer Bank
7,24,25
1,2,3
6,8,10
6,8,12](https://static.questionai.br.com/resource%2Fqaiseoimg%2F202501%2Fpythagorean-triplenot-pythagorean-triplesquare-add-thZuaHKLUC06.jpg?x-oss-process=image/resize,w_558,h_500/quality,q_35/format,webp)
Pythagorean triple not a Pythagorean triple square Add an answer icem! Answer Bank 7,24,25 1,2,3 6,8,10 6,8,12
Solução
![expert verified](https://mathresource.studyquicks.com/static/image/br/verify.png)
4.7193 Voting
![avatar](https://static.questionai.br.com/resource%2Favatar%2Fbr%2Ffemale%2Fa2454_88d238d0543787a89694.jpg?x-oss-process=image/format,webp)
ElaineMestre · Tutor por 5 anos
Responder
To determine which sets of numbers are Pythagorean triples, we need to check if they satisfy the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Let's check each set of numbers:
1.
-
-
- This set satisfies the Pythagorean theorem, so it is a Pythagorean triple.
2.
-
-
- This set does not satisfy the Pythagorean theorem, so it is not a Pythagorean triple.
3.
-
-
- This set satisfies the Pythagorean theorem, so it is a Pythagorean triple.
4.
-
-
- This set does not satisfy the Pythagorean theorem, so it is not a Pythagorean triple.
Therefore, the sets of numbers that are Pythagorean triples are:
-
-
Let's check each set of numbers:
1.
-
-
- This set satisfies the Pythagorean theorem, so it is a Pythagorean triple.
2.
-
-
- This set does not satisfy the Pythagorean theorem, so it is not a Pythagorean triple.
3.
-
-
- This set satisfies the Pythagorean theorem, so it is a Pythagorean triple.
4.
-
-
- This set does not satisfy the Pythagorean theorem, so it is not a Pythagorean triple.
Therefore, the sets of numbers that are Pythagorean triples are:
-
-
Clique para avaliar: