Triangle \(ABC\) is inscribed in a rectangle \(ABEF\) forming two right triangles: \(AFC\) and \(BEC.\) Is triangle

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Triangle \(ABC\) is inscribed in a rectangle \(ABEF\) forming two right triangles: \(AFC\) and \(BEC.\) Is triangle \(ABC\) an equilateral triangle?

(1) \(BE = \dfrac{\sqrt3AB}2\)

(2) Point \(C\) is the midpoint of \(EF.\)

Answer: C

Source: e-GMAT
Source: — Data Sufficiency |