As shown in the figure, it is known that in △ ABC, ad and AE are the height and the median line on the edge of BC, ab = 9cm, AC = 7cm, BC = 8cm, respectively

As shown in the figure, it is known that in △ ABC, ad and AE are the height and the median line on the edge of BC, ab = 9cm, AC = 7cm, BC = 8cm, respectively

In RT △ abd, ad2 = ab2-bd2, i.e. ad2 = 92 - (4 + de) 2. In RT △ ADC, ad2 = ac2-dc2, i.e. ad2 = 72 - (4-de) 2 ∧ 81 - (4 + de) 2 = 49 - (4-de) 2 ∧ (4 + de) 2 - (4-de) 2 = 32 ∧ 8 · 2DE = 32 ∧ de = 2cm