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Geometry Triangles; Area; Pythagorean Theorem

1. Given that the hypotenuse of the triangle is , it follows that x2 + y2 =  = 200. It is possible that x = y = 10 (x 2 + y 2 = 200), in which case xy = 100. However, it is also possible that x =  and y = , in which case xy = ; NOT sufficient.

2. Given that the area of the triangle is 50, it follows that  = 50, so xy = 100; SUFFICIENT.

The correct answer is B; statement 2 alone is sufficient.