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M2_9_9_2_1

GeoGebra Construction:

9_2_1

Construct a triangle triangle ABC and proper Menelaus points L, M, and N for trianlge ABC. Calculate the quantity . Move the vertices of the triangle and the Menelaus points to verify that if the Menelaus points are collinear, then d = 1.

Solution:

If the Menelaus points are collinear, d=1.