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.
答
∵△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.