(1)△ADE∽△ABC,△ADE∽△ACD,△ABC∽△ACD
(2)∵∠1=∠2,∠A=∠A
∴△ADE∽△ACD
∴AD/AC=AE/AD
∴2/AC=1/2
∴AC=4
∵△ADE∽△ABC
∴AD/AB=AE/AC
∴2/AB=1/4
∴AB=8
∴BD=6
(1)△ADE∽△ABC,△ADE∽△ACD,△ABC∽△ACD
(2)∵∠1=∠2,∠A=∠A
∴△ADE∽△ACD
∴AD/AC=AE/AD
∴2/AC=1/2
∴AC=4
∵△ADE∽△ABC
∴AD/AB=AE/AC
∴2/AB=1/4
∴AB=8
∴BD=6