EldonI231746 EldonI231746
  • 25-10-2022
  • Mathematics
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Find the length of the hypotenuse in a 45-45-90 triangle with legs 8 cm (draw a picture):O 11.31 cmO 5.66 cm08.66 cmO 10 cm

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RhodaD632427 RhodaD632427
  • 25-10-2022

Our triangle would be:

Using the pythagorean theorem, we get that:

[tex]h^2=8^2+8^2[/tex]

Solving for h :

[tex]\begin{gathered} h^2=8^2+8^2\rightarrow h=\sqrt[]{8^2+8^2} \\ \Rightarrow h=11.31 \end{gathered}[/tex]

Thereby, the hypotenuse measures 11.31 cm

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