Answer:
[tex]4\sqrt{5}[/tex]
Step-by-step explanation:
Use pythagorean theorem:
[tex]a^{2} +b^{2} =c^{2}\\8^{2} +4^{2} =c^{2}\\64+16=c^{2}\\c^{2}=80\\c=\sqrt{80}[/tex]
Simplify the square root for your final answer:
[tex]\sqrt{80} =\sqrt{16*5} =4\sqrt{5}[/tex]
Thus final answer is: [tex]4\sqrt{5}[/tex]
