Can someone answer for me . the hypotenuse of a 45o -45o -90o triangle measures 2 square root 6 units. what is the length of one leg of the triangle?

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

8 2/3 is the answer

step-by-step explanation: just use a calculator

linear pair postulates