MathDB

6

Part of 2018 Middle European Mathematical Olympiad

Problems(1)

Prove that AW=WT

Source: MEMO 2018 T6

9/3/2018
Let ABCABC be a triangle . The internal bisector of ABCABC intersects the side ACAC at L L and the circumcircle of ABCABC again at W≠B.W \neq B. Let KK be the perpendicular projection of LL onto AW.AW. the circumcircle of BLCBLC intersects line CKCK again at P≠C.P \neq C. Lines BPBP and AWAW meet at point T.T. Prove that AW=WT.AW=WT.
geometrycircumcircleMEMO 2018