如图,已知△ABC∽△ACD,AC=6,AD=4,CD=8,求BD,BC的长.

问题描述:

如图,已知△ABC∽△ACD,AC=6,AD=4,CD=8,求BD,BC的长.

∵△ABC∽△ACD,

BC
CD
=
AB
AC
=
AC
AD

∵AC=6,AD=4,CD=8,
BC
8
=
4+BD
6
=
6
4

∴BC=12,BD=5.