Answer: The required length of the hypotenuse is 6 units.
Step-by-step explanation: We are given to find the length of the hypotenuse of each isosceles right-triangle when the legs are of the following measure :

As shown in the attached figure below, triangle ABC is an isosceles right-angled triangle, where

We are to find the length of the hypotenuse AC.
Using Pythagoras theorem in right-angled triangle ABC, we have

Thus, the required length of the hypotenuse is 6 units.