ABC is an equilateral triangle. Point D is on AC and Point E is on BC, such that AD=2CD and CE=EB. If we draw perpendiculars from D and E to other two sides and find the sum of the length of two perpendiculars for each set, that is, for D and E individually and denote them as per (D) and per(E), then which of the following option will be correct.

1) per (D) > per (E)
2) per (D) = per (E)
3) per (D) < per (E)
4) None of these
5) Cannot be determined

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  Answer will be Per(D) = per (E)
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