If ~$x$~ and ~$y$~ are the lengths of the legs of a right triangle, what is the value of ~$xy$~?

1. The hypotenuse of the triangle is 10 ~$\sqrt{2}$~

2. The area of the triangular region is 50

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.