side u = 8 units
Explanation:
(The triangle is a right triangle so we can use trigonometry to find u.)
(If you look from angle 45 degrees’ view: u is opposite, v is adjacent and 8 sqrt(2) is the hypotenuse because it is opposite to the right angle.)
sin = Opposite/Hypotenuse
sin(45) = u/[8 sqrt(2)]
sin(45) x 8 sqrt(2) = u
8 = u
u = 8 units