The three sides of a triangle have lengths \(p, q\) and \(r,\) each an integer. Is this triangle a right triangle?

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The three sides of a triangle have lengths \(p, q\) and \(r,\) each an integer. Is this triangle a right triangle?

(1) The perimeter of the triangle is an odd integer.
(2) If the triangle's area is doubled, the result is not an integer.

[spoiler]OA=D[/spoiler]

Source: Manhattan GMAT
Source: — Data Sufficiency |