Respuesta :

The hypotenuse is 11.4 cm long

Step-by-step explanation:

We have to find the hypotenuse so the other sides are:

[tex]Perpendicular = P = 7\ cm\\Base = B = 9\ cm\\[/tex]

Pythagoras theorem will be used to find the length of Hypotenuse

[tex]H^2=P^2+B^2\\[/tex]

Putting values

[tex]H^2=(7)^2+(9)^2\\H^2=49+81\\H^2=130[/tex]

Taking square Root on Both sides

[tex]\sqrt{H^2}=\sqrt{130}\\H=11.40[/tex]

Rounding off to the nearest tenth

[tex]H=11.4\ cm[/tex]

Hence,

The hypotenuse is 11.4 cm long

Keywords: Triangle, Pythagoras Theorem

Learn more about Pythagoras theorem at:

  • brainly.com/question/4401748
  • brainly.com/question/4459688

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