ANSWER:
1st option: 4√2
STEP-BY-STEP EXPLANATION:
We can calculate the value of the hypotenuse by means of the Pythagorean theorem, like this:
[tex]h^2=a^2+b^2[/tex]
We substitute and solve for h, like this:
[tex]\begin{gathered} h^2=4^2+4^2 \\ \\ h^2=2\cdot4^2 \\ \\ h=\sqrt{2\cdot4^2} \\ \\ h=4\sqrt{2} \end{gathered}[/tex]
Therefore, the correct answer is the 1st option: 4√2
