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M2_8_8_1_6

GeoGebra Construction

8_1_6

Now let l be the line through A that is parallel to the sideline BC and let m be the line through B that is parallel to the sideline AC. Is there a Cevian line n = CN such that the three lines l, m, and n are concurrent? If so, calculate AN/NB. Is N on the triangle?

Solution:

Yes, there is a line n=CN such that the three lines l, m, and n are concurrent. The calculation of AN/NB is 1 and N is on the triangle ABC.