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?
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.