In the figure above,~$\overline{AB}$~, which has length ~$z$~cm, is tangent to the circle at point ~$A$~, and ~$\overline{BD}$~, which has length ~$y$~cm, intersects the circle at point ~$C$~. If ~$BC=x$~cm and ~$z=\sqrt{xy}$~, what is the value of ~$x$~?
(1) ~$CD=x$~cm
(2) ~$z=5\sqrt2$~
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.