To solve this problem you must apply the proccedure shown below:
1. You must apply the Pythagorean Theorem, which is:
a²=b²+c²
a is the hypotenuse and b and c the legs of the triangle.
2. You have that:
b=c=x
3. Therefore:
a²=2x²
(2√6)=2x²
4. Now, you must clear the x, as below:
x²/2=24
x²=24/2
x²=12
x=√12
x=2√3
5. Therefore, as you can see, the answer is 2√3