+179 Any hints or pointers for these problems would be appreciated.
1. Let \(X, Y,\) and \(Z\) be points on a circle. Let \(\overline{XY} \) and the tangent to the circle at \(Z\) intersect at \(W\) . If \(WX = 4\), \(WZ = 8\), and \(\overline{WY} \perp \overline{WZ}\), then find \(YZ.\)
2. Let \(\overline{AB}\) and \(\overline{CD}\) be the chords of a circle, then meet at point \(Q\) inside of the circle. If \(AQ = 6, BQ = 12, \) and \(CD = 38\), then find the minimum length of \(CQ\).
