Right triangle \(ABO\) is drawn in the \(xy\)-plane, with \(OB\) as hypotenuse, where \(O\) is at the origin and \(B\)

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Right triangle \(ABO\) is drawn in the \(xy\)-plane, with \(OB\) as hypotenuse, where \(O\) is at the origin and \(B\) at \((15, 0).\) What is the area of the triangle?

(1) The \(x\) and \(y\)-coordinates of all three points are non-negative integers.

(2) No two sides of the triangle have the same length.

Answer: A

Source: Manhattan GMAT
Source: — Data Sufficiency |