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

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

(1) $BE = \dfrac{\sqrt3 AB}2$

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

Answer: C

Source: e-GMAT

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