In a diagram, this is the information we have
Notice that, after cutting the sheet of paper, we get 2 right triangles.
We can use the Pythagorean theorem to find the length of the paper as follows:
[tex]\begin{gathered} (10in)^2=(9in)^2+(length)^2 \\ \Rightarrow\text{length}=\sqrt[]{(10in)^2-(9in)^2}^{} \\ \Rightarrow\text{length}=\sqrt[]{19in^2} \\ \Rightarrow\text{length}=\sqrt[]{19}in \end{gathered}[/tex]The answer is sqrt(19) in, which is, approximately, 4.36 in
