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Sharygin CR 2019 P19

Source: Sharygin CR 2019 P19 (Grade 10 - 11)

March 6, 2019
geometry

Problem Statement

Let ALaAL_a, BLbBL_b, CLcCL_c be the bisecors of triangle ABCABC. The tangents to the circumcircle of ABCABC at BB and CC meet at point KaK_a, points KbK_b, KcK_c are defined similarly. Prove that the lines KaLaK_aL_a, KbLbK_bL_b and KcLcK_cL_c concur.
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