如图,D、E分别在边AC,AB上,已知△AED∽△ACB,AE=DC,若AB=12cm,AC=8cm.则AD=_cm.

问题描述:

如图,D、E分别在边AC,AB上,已知△AED∽△ACB,AE=DC,若AB=12cm,AC=8cm.则AD=______cm.

∵△AED∽△ACB,AE=DC,

AE
AC
=
AD
AB
,即
DC
8
=
8−CD
12

解得CD=3.2cm,
则AD=8-3.2=4.8cm,
故答案为4.8.