As shown in the figure, given BA ⊥ BD, CB ⊥ CD, ad = 8, BC = 6, then the value range of BD length of line segment is______ .

As shown in the figure, given BA ⊥ BD, CB ⊥ CD, ad = 8, BC = 6, then the value range of BD length of line segment is______ .

∵ CB ⊥ CD, ∵ BD > BC, ∵ BA ⊥ BD, ∵ BD < ad, ∵ ad = 8, BC = 6, ∵ the value range of BD length of line segment is 6 < BD < 8; so the answer is: 6 < BD < 8