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

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]