tw18470 tw18470
  • 03-11-2020
  • Mathematics
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A triangle has sides with lengths of 5 meters, 9 meters, and 13 meters. Is it a right triangle?

Respuesta :

Susurrus
Susurrus Susurrus
  • 03-11-2020

Answer:

No.

Step-by-step explanation:

It is a right triangle if it satisfies the Pythagorean theorem.

The theorem states that: [tex]a^2 + b^2 = c^2[/tex]

We have:

[tex]a = 5\\b=9\\c=13[/tex]

Therefore:

[tex]a^2=25\\b^2=81\\c^2=169[/tex]

And we can see that [tex]25+81\neq 169[/tex]

Therefore it is not a right triangle.

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