Question

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?

Answer 1

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