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M2_8_8_1_4

GeoGebra Construction

8_1_4

Find points L, M, and N such that the three Cevian lines are mutually parallel. (Use the Parallel Line tool to make sure the lines are exactly parallel, not just approximately parallel.) What is d equal to in this case? How many of the points L, M, and N lie on triangle ABC?

Solution:

In this case, d=1 and only one of the points lie on the triangle ABC.