9. Find the missing lengths of the sides.

Answer:
x = 8
y = 8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
This is a special right triangle with angle measures 45-45-90
The side lengths for this triangle are as follows
a (the side lengths that see angle measure 45)
a[tex]\sqrt{2}[/tex] (the side length that sees angle measure 90)
one of the side length which sees angle measure 45 is given as 8
so a = 8 as well as x = 8
therefore y = 8[tex]\sqrt{2}[/tex]