Answer:
5√6
Step-by-step explanation:
In a 45 - 45 - 90 triangle, the length of the hypotenuse is equal to:
Hypotenuse = √2 Leg
So, replacing Leg by 5√3, we get:
Hypotenuse = √2 x 5√3
Hypotenuse = 5 x √(2 x 3)
Hypotenuse = 5√6
Therefore, the length of the hypotenuse is 5√6