The incirle of triangle ABC touches the sides BC,CA and AB in K,L and M respectively.The line through A and parallel to LK meets MK in P and the line through A and parallel to MK meets LK in Q.Show that the line PQ bisects the sides AB and AC of the triangle ABC

Question

The incirle of triangle ABC touches the sides BC,CA and AB in K,L and M respectively.The line through A and parallel to LK meets MK in  P and the line through A and parallel to MK meets LK in Q.Show that the line PQ bisects the sides AB and AC of the triangle ABC

anonymous · Answer

hi @allen1331997
this is INMO-2000 problem1
here is the answer

anonymous · Answer

attachment

anonymous · Answer

ya i know this solution ......I am in a search of a different 1