KristinaS449402 KristinaS449402
  • 26-10-2022
  • Mathematics
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O GEOMETRYPythagorean TheoremFor the following right triangle, find the side length x. Round your answer to the nearest hundredth.

O GEOMETRYPythagorean TheoremFor the following right triangle find the side length x Round your answer to the nearest hundredth class=

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SharifV676229 SharifV676229
  • 26-10-2022

The Pythagorean Theorem states:

[tex]x^2+y^2=h^2[/tex]

Where x and y are the legs of the right triangle and h is the hypotenuse.

In the figure, we can see y=6 and h=7.

Replace these values and solve for x:

[tex]\begin{gathered} x^2=h^2-y^2 \\ x^2=7^2-6^2 \\ x^2=49-36=13 \\ x=\sqrt[]{13}=3.61 \end{gathered}[/tex]

Therefore, the side length x is 3.61

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