Using similar triangles, we see that 12/x = x/16. Multiplying by 16x, we see that x^2=12*16=192.
By the Pythagorean Theorem, [tex]12^2+y^2=x^2[/tex]. Since x^2=192, we know that [tex]144+y^2=192[/tex]. Subtracting 144 from both sides, we see that [tex]y^2=48[/tex], so y=[tex]4 \sqrt{3} [/tex].
