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

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 $10\sqrt2.$
(2) The area of the triangular region is $50.$

Answer: B

Source: Official Guide

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