can someone answer for me please.

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

Respuesta :

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