As shown in the figure, in rectangular trapezoid ABCD, ab ∥ CD, ad ⊥ DC, ab = BC, and AE ⊥ BC. (1) prove: ad = AE; (2) if ad = 8, DC = 4, find the length of ab

(1) It is proved that: connect AC, ∫ ab ∥ CD, ∫ ACD = - BAC, ∫ AB = BC, ∫ ACB = - BAC, ∫ ACD = - ACB, ≁ ad ⊥ DC, AE ⊥ BC, ∫ d = - AEC = 90 °, ∫ AC = AC, ∫ d = - AEC ≌ DCA = - ACBAC = AC, ≌ ADC ≌ AEC, (AAS) ≌ ad = AE; (2)

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1. As shown in the figure, in rectangular trapezoid ABCD, ab ∥ CD, ad ⊥ DC, ab = BC, and AE ⊥ BC. (1) prove: ad = AE; (2) if ad = 8, DC = 4, find the length of ab
2. In rectangular trapezoid ABCD, ab ∥ CD, ad ⊥ DC, ab = BC, and AE ⊥ BC
3. As shown in the figure, in the trapezoidal ABCD, AD / / BC, ∠ ABC = 60 °. ∠ DCB = 30 ° AB = 4, find BC ad
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