1. Determine the missing length in the following right triangle. Round to thenearest tenth.

We can apply Pythagorean theorem to the given right triangle:
[tex]x^2+16^2=20^2[/tex]which gives
[tex]x^2+256=400[/tex]If we move +256 to the right hand side, we get
[tex]\begin{gathered} x^2=400-256 \\ \text{then} \\ x^2=144 \end{gathered}[/tex]Finally, x is given by
[tex]x=\sqrt[]{144}[/tex]then, the answer is x= 12