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8. Let AL, BM, and CN be three concurrent Cevians of AABC. Use Menelaus' theorem to prove that AN BL CM X X -= 1. (Hint: Apply Menelaus' theorem to the two triangles associated to transversals BFM [points B, F, NB LC MA and M are collinear] and AFL [points A, F, and L are collinear]).

8. Let AL, BM, and CN be three concurrent Cevians of AABC. Use Menelaus' theorem to prove that AN BL CM X X -= 1. (Hint: Apply Menelaus' theorem to the two triangles associated to transversals BFM [points B, F, NB LC MA and M are collinear] and AFL [points A, F, and L are collinear]).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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8. Let AL, BM, and CN be three concurrent Cevians of AABC. Use Menelaus' theorem to prove that AN BL, CM X X = NB LC MA 1. (Hint: Apply Menelaus' theorem to the two triangles associated to transversals BFM [points B, F, and M are collinear] and AFL [points A, F, and L are collinear]). A ہے M F N L B V
Transcribed Image Text:8. Let AL, BM, and CN be three concurrent Cevians of AABC. Use Menelaus' theorem to prove that AN BL, CM X X = NB LC MA 1. (Hint: Apply Menelaus' theorem to the two triangles associated to transversals BFM [points B, F, and M are collinear] and AFL [points A, F, and L are collinear]). A ہے M F N L B V
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