As shown in the figure, in ladder ABCD, ad ∥ BC, ∠ C = 90 ° and ab = ad. connect BD, make a vertical line of BD through point a, intersect BC at point E, and the vertical foot is h. if EC = 3cm, CD = 4cm, calculate the area of ladder ABCD

As shown in the figure, in ladder ABCD, ad ∥ BC, ∠ C = 90 ° and ab = ad. connect BD, make a vertical line of BD through point a, intersect BC at point E, and the vertical foot is h. if EC = 3cm, CD = 4cm, calculate the area of ladder ABCD

Connecting De, ∵ C = 90 °, EC = 3cm, CD = 4cm, ∵ de = 5. ∵ ad ∥ BC, ∵ AB = ad, ah ⊥ BD, ≁ BH = DH, ≁ ahd = EHB = 90 ° in △ ADH and △ EBH, ≌ ahd = ehbdh = BH ≌ 1 = 2, ≌ ADH ≌ EBH (ASA), ≌ be = ad, ≌ abed is