Respuesta :

Answer:

Therefore, the length of hypotenuse is: 13 units

Step-by-step explanation:

  • As the given triangle is a right triangle.
  • We can find the length of hypotenuse using the Pythagoras' Theorem

Let c be the length of hypotenuse

Using Pythagoras' Theorem for the given triangle

[tex]5^2\:+\:12^2\:=\:c^2[/tex]

[tex]\mathrm{Switch\:sides}[/tex]

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

[tex]c^2=25+144[/tex]

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

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]c=\sqrt{169},\:c=-\sqrt{169}[/tex]

[tex]c=13,\:c=-13[/tex]

As the length of hypotenuse cannot be negative. Therefore, the length of hypotenuse is: 13 units

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