In triangle WXY, WX is eight and XY is fourteen. The circumcircle of triangle WXY is constructed. The tangent to the circumcircle at X is drawn, and the line through W parallel to this tangent intersects XY at Z. Find YZ.
By similar triangles, YZ = 2*15^2/25 = 18.
angle XWZ = Angle WYX
Thus triangle WXZ similiar to triangle WXY. We get:
XZ/8 = 8/14
XZ=32/7
Hence: YZ=14-32/7=66/7
