isnotgoodtab isnotgoodtab
  • 29-11-2020
  • Mathematics
contestada

Which of these is a Pythagorean triad?

A. 5, 12, 13
B. 1, 2, 3
C. 6, 9, 10

Respuesta :

goodLizard
goodLizard goodLizard
  • 29-11-2020

Answer:

A) 5, 12, 13

Step-by-step explanation:

[tex]5^2 + 12^2 = 169[/tex]

[tex]13^2 = 169[/tex]

∴ Option A is a Pythagorean triad.

[tex]1^2 + 2^2 = 5[/tex]

[tex]3^2 = 9[/tex]

∵[tex]5\neq 9[/tex], ∴ Option B is not a Pythagorean triad.

[tex]6^2 + 9^2 = 117[/tex]

[tex]10^2 = 100[/tex]

∵[tex]117\neq 100[/tex], ∴Option C is not a Pythagorean triad.

∴ A is the only Pythagorean triad out all three options.

Hope this helps :)

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