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More Geometry!!!

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Triangle ABC has AB=9, AC=8 and BC=4. Line segment AC is extended to D in such a way that angle CED=angle CAB. What is lenght of the line segment CD? Express your answer as a common fraction
|dw:1328764582200:dw|
Can you use Pythagorean Theorem?

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Other answers:

Oh wait. I see now.
no because angel C is not a right angle
Angle CED = Angle CAB. Where is the "E" in Angle CED?
sorry my mistake, it's suppose to be CBD
|dw:1328764988686:dw|
can you clarify that?
angle ACB and BCD are similar?
Can you clarify?
but which side correspound with which?
you mean angle B = angle A. DB is common is both?
ok, I see.
Thanks!

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