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In ABC, D∈AB, E∈AC; AD=3,DB=2,AE=6,EC=4. Which follows?

AAB is parallel to AC
BDE is perpendicular to BC
CAB is perpendicular to AC
DDE is parallel to BC
Answer & Solution
Correct answer: D. DE is parallel to BC
The equal internal ratios AD/DB=AE/EC=3/2 establish DE∥BC by the converse of BPT.
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