+0

0
126
3
+56

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 $$CQ$$

Oct 21, 2020

#1
0

1. By power of a point, XY = 7*sqrt(3).

2. By power of a point, the minimum length of CQ is 6.

Oct 21, 2020
#2
+56
+1

Can you explain more?

xCorrosive  Oct 21, 2020