ArynnN87789 ArynnN87789
  • 26-10-2022
  • Mathematics
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ХThe length of the hypotenuse of a 45°-45°-90° triangleis 10. What is the length of one leg?

ХThe length of the hypotenuse of a 454590 triangleis 10 What is the length of one leg class=

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FraidyT269249 FraidyT269249
  • 26-10-2022

the two legs will have the same measure so we can use pytagoras and solve

[tex]H=\sqrt[]{2}\times l[/tex]

replace the value of H

[tex]10=\sqrt[]{2}\times l[/tex]

and solve for l

[tex]\begin{gathered} l=\frac{10}{\sqrt[]{2}} \\ \\ l=5\sqrt[]{2}\approx7.07 \end{gathered}[/tex]

the length of one leg is five roof of two or 7.07

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