Respuesta :

tqiu

Answer:

3, 4, 5

Step-by-step explanation:

We can check each one by seeing if they satisfy the Pythagorean theorem (which is a^2+b^2=c^2; we are going to make the 2 shorter sides a and b, and the longer side c):

[tex]1^2+5^2=1+25=26\neq 10^2\\3^2+4^2=9+16=25=5^2\\2^2+5^2=25+4=29\neq 5^2\\2^2+2^2=4+4=8\neq 2^2[/tex]

We can see that the only pythagorean triple here is 3, 4, 5.

Alternatively, you could memorise some easy pythagorean triples, like (3, 4, 5), (5, 12, 13), and (7, 24, 25).

Side note: if you multiply each one of these values by any number, it's still going to be a pythagorean triple. For example, (3*2,4*2,5*2) = (6,8,10) is still a pythagorean triple.

The 3,4,5 shows the Pythagorean Triple.

The information regarding the Pythagorean Triple is as follows:

  • It contains 3 positive integers i.e. a, b, and c.
  • Like [tex]a^2+ b^2 = c^2[/tex].
  • The sum of the square of two integers should be equivalent to the third one square.

Based on the above information, the calculation is as follows:

[tex]3^2 + 4^2 = 5^2[/tex]

9 + 16 = 25

25 = 25

Therefore we can conclude that the 3,4,5 shows the Pythagorean Triple.

Learn more: brainly.com/question/24252852

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