Answer:
5[tex]\sqrt{6}[/tex]
Step-by-step explanation:
The easiest way to do this problem is to know that the hypotenuse of a 45-45-90 triangle is equal to [tex]\sqrt{2}[/tex] times the length of a leg.
So, in your problem the hypotenuse = [tex]\sqrt{2}[/tex](5[tex]\sqrt{3}[/tex]) = 5[tex]\sqrt{6}[/tex]. Another way to solve the problem is to use the Pythagorean theorem, but that is a longer way to solve it.
