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perimeter of triangle

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Source: — Data Sufficiency |
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by sl750 » Sun Jul 31, 2011 7:54 am
Statement 1 only tells us that CD=BD and nothing more
Statement 2 gives us the perimeter of the whole triangle, again this does not tell us if the two triangles are congruent

Together, we know that CD=BD, but we don't know whether AD is perpendicular to BC, nor whether AB=AC, so we can conclude E is the answer
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