Respuesta :

D. is the correct answer.

Answer:

[tex]h=8\sqrt{2}[/tex]

Step-by-step explanation:

The given triangle is a 45-45-90 degree triangle

the common ratio for this 45-45-90 degree triangle is

x : x : [tex]x\sqrt{2}[/tex]

the side length opposite of 45 degree is x

Given the side length is 8 . so [tex]x=8[/tex]

we need to find out h that is the hypotenuse

hypotensue is [tex]x\sqrt{2}[/tex]

we know x is 8, plug in x

h= [tex]x\sqrt{2} =8\sqrt{2}[/tex]