acerspades
acerspades acerspades
  • 15-09-2021
  • Mathematics
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Why must one leg of a triangle that the Pythagorean triple represents need an even-numbered length?

Respuesta :

Аноним Аноним
  • 15-09-2021

Most of the square numbers are even.so if we need to find root over we need an even number to convert it to perfect square.

See the example below

  • P=3
  • B=4
  • H=5

[tex]\\ \ast\bull\rm\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \ast\bull\rm\longmapsto H^2=3^2+4^2[/tex]

[tex]\\ \ast\bull\rm\longmapsto H^2=9+16[/tex]

[tex]\\ \ast\bull\rm\longmapsto H^2=25[/tex]

[tex]\\ \ast\bull\rm\longmapsto H=\sqrt{25}[/tex]

[tex]\\ \ast\bull\rm\longmapsto H=5[/tex]

Some other triplets are

  • (6,8,10)
  • (5,12,13)
  • (8,15,17)
Answer Link

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