emiliyy06
emiliyy06 emiliyy06
  • 15-07-2019
  • Mathematics
contestada

Which set of side lengths is a Pythagorean triple?
1)1,3, 10
2)4,5,9
3)9, 40, 41
4)16, 30, 44

Respuesta :

Ben
Ben Ben
  • 15-07-2019

[tex]\huge{\boxed{\text{3) \bf{9, 40, 41}}}}[/tex]

A Pythagorean triple is a set of three numbers where [tex]a^2 + b^2 = c^2[/tex].

Trying 1:

[tex]1^2+3^2=10^2[/tex]

[tex]1+9=100[/tex]

[tex]10=100[/tex]

Incorrect.

Trying 2:

[tex]4^2+5^2=9^2[/tex]

[tex]16+25=81[/tex]

[tex]41=81[/tex]

Incorrect.

Trying 3:

[tex]9^2+40^2=41^2[/tex]

[tex]81+1600=1681[/tex]

[tex]1681=1681[/tex]

Correct!

Trying 4: (unnecessary, but practice is good)

[tex]16^2+30^2=44^2[/tex]

[tex]256+900=1936[/tex]

[tex]1156=1936[/tex]

Incorrect.

Answer Link

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