JohnnieN434024 JohnnieN434024
  • 27-10-2022
  • Mathematics
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aThe hypotenuse of a right triangle is 15 centimeters long. One leg is9 centimeters long. How long is the other leg?

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YeslinE406240 YeslinE406240
  • 27-10-2022

Using pythagorean theorem:

[tex]\begin{gathered} c^2=a^2+b^2 \\ 15^2=9^2+b^2 \\ solve_{\text{ }}for_{\text{ }}b\colon \\ b=\sqrt[]{15^2-9^2} \\ b=\sqrt[]{225-81} \\ b=\sqrt[]{144} \\ b=12 \end{gathered}[/tex]

The other leg is 12cm long

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