Let \(X, Y, \) and \(Z\) be points on a circle. Let line \(XY\) and the tangent to the circle at \(Z\) intersect at \(W.\) If \(WX=4, WZ=8\), and \(\overline{WY} \perp \overline{WZ}\), then find \(YZ.\)

I know there is another thread on this, but it doesn't seem like it is right.

Guest Jun 16, 2021