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Answer: (5, 12, 13).

Step-by-step explanation:

Pythagorean triples are any three side lengths of a right triangle that are all whole numbers.

The most common triples are (3, 4, 5), (5, 12, 13), and (9, 40, 41).

You can test the options given in the Pythagorean theorem to see if they make the theorem correct.

25 + 64 = 100 is not correct.

9 + 16 = 36 is not correct.

25 + 144 = 169 is correct.

1 + 1 = 4 is not correct.

The correct choice is (5, 12, 13).

Hi1315

Answer:

[tex](5 \:, \: \: 12 \: , \: \: \: 13)[/tex]

Third answer is correct

Step-by-step explanation:

PYTHAGORAS theorem

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Let's take one by one.

1)(5,8,10)

[tex] {5}^{2} + {8}^{2} = {10}^{2} \\ 25 + 64 = 100 \\ 89 = 100[/tex]

No,it's not correct.

2)(3,4,6)

[tex] {3}^{2} + {4}^{2} = {6}^{2} \\ 9 + 16 = 36 \\ 25 = 36 [/tex]

No, it's not correct.

3)(5,12,13)

[tex] {5}^{2} + {12}^{2} = {13}^{2} \\ 25 + 144 = 169 \\ 169 = 169[/tex]

Yes,it's correct

4)(1,1,2)

[tex] {1}^{2} + {1}^{2} = {2}^{2} \\ 1 + 1 = 4 \\ 2 = 4 [/tex]

No, it's not correct

SO, IT'S CLEAR THAT THE CORRECT ANSWER IS THE THIRD ANSWER

hope this helps

brainliest appreciated

good luck! have a nice day!

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