AdryelK20290 AdryelK20290
  • 26-10-2022
  • Mathematics
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Find the length of the unknown side of the right triangle with sides a, b, and c, where c is the hypotenuse.

Find the length of the unknown side of the right triangle with sides a b and c where c is the hypotenuse class=

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KeidyL417805 KeidyL417805
  • 26-10-2022

Answer: The lengths of the triangles with the sides a b and c can be visualized as follows:

Using the Pythagorean theorem, we can construct the following equation related to the triangle shown:

[tex]\begin{gathered} a^2+b^2=c^2 \\ \\ \\ a=\sqrt{9} \\ b=? \\ c=9 \\ \\ \\ (\sqrt{9})^2+b^2=9^2 \\ \\ \\ b^2=9^2-(\sqrt{9})^2 \\ \\ b=\sqrt{81-9}=\sqrt{72}\approx8.4853 \end{gathered}[/tex]

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