It is known that e is the midpoint of the waist BC of the trapezoidal ABCD, and ab + CD = ad

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The extension lines of AE and DC intersect at F,
∵AB∥CD,∴∠BAE=∠F,∠B=∠FCE,
∵BE=CE,∴ΔABE≌ΔFCE,∴AE=EF,AB=CF,
∴AD=AB+CD=CF+CD=DF,
The De is the center line of AF at the bottom of the isosceles triangle DAF,
⊥ de ⊥ AE (isosceles triangle with three lines in one)

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