Triangles \(ABC\) and \(DEF\) are similar right triangles. If the hypotenuse of triangle \(DEF\) has a length of \(20,\)

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Triangles \(ABC\) and \(DEF\) are similar right triangles. If the hypotenuse of triangle \(DEF\) has a length of \(20,\) what is the length of the hypotenuse of triangle \(ABC?\)

(1) The ratio of the perimeter of \(ABC\) to the area of \(ABC\) is the reciprocal of the ratio of the perimeter of \(DEF\) to the area of \(DEF.\)
(2) One of the legs in triangle \(DEF\) has a length of \(12.\)

Answer: C

Source: Manhattan GMAT