∵AB=AC,BD=BC,
∴△ABC,△BCD为等腰三角形,
又底角∠BCA=∠BCD,
∴△ABC∽△BCD,
∴
AB |
BC |
BC |
CD |
3 |
2 |
2 |
CD |
解得CD=
4 |
3 |
故选C.
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