We have 3 similar triangles. We will use the two inner triangles.
Using the ratio of similar sides
8 n
---- = ------
n 4
Using cross products
8*4 = n^2
32 = n^2
Taking the square root of each side
sqrt(32) = sqrt(n^2)
sqrt(16 *2) = n
4 sqrt(2) = n
[tex]n=4\sqrt[]{2}[/tex]
