Answer :

Answer: The angles on this equation are being used to be sure of the type of triangle that is being shown. So the 45-45-90 would garentee it being a right triangle.

Since we are trying to find the hypotenuse we are going to use the Pythagorean Theorem.

Step-by-step explanation:

Using the theorem which is A^2+B^2=C^2

you are going to substitute the A and B of the equation. The C of this theorem is ALWAYS the hypotenuse.

So we would have

4^2+4^2= C^2

then we will square both 4s

16+16= C^2

Now to get C^2 we will add 16+16 which is 32

32=C^2

now we will need to get C unsquared, so we need to find the square root which is

5.66

turning that into radical form is [tex]x=4\sqrt{2}[/tex]