Find the missing length.
Pythagorean Theorem:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Answer:
[tex] \huge \boxed{c = 4 \sqrt{2} }[/tex]
Step-by-step explanation:
Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x
Using Pythagoras theorem we have
c² = a² + b²
where
c is the hypotenuse
So from the question we have
[tex] {c}^{2} = {4}^{2} + {4}^{2} \\ c = \sqrt{16 + 16} \\ c = \sqrt{32} \: \: \: \: \: \: \: \: \: \\ \\ \\ c = 4 \sqrt{2} \: \: \: \: \: \: \: \: [/tex]
Hope this helps you