Answer
x=2$\sqrt {14}$
y=13
Work Step by Step
x$^2$=(6$\sqrt 2$)$^2$-4$^2$
x$^2$=72-16
x$^2$=56
x=2$\sqrt {14}$
The right triangle in the center has legs of length 3 and 4 which makes it a pythagorean triple with a hypotenuse of 5.
y$^2$=12$^2$+5$^2$
y$^2$=169
y=13
