MathDB

5

Part of 1998 Iran MO (3rd Round)

Problems(1)

Prove that line AP is a median of triangle ABD

Source: Iran Third Round MO 1998, Exam 4, P5

10/31/2010
In a triangle ABCABC, the bisector of angle BACBAC intersects BCBC at DD. The circle Γ\Gamma through AA which is tangent to BCBC at DD meets ACAC again at MM. Line BMBM meets Γ\Gamma again at PP. Prove that line APAP is a median of △ABD.\triangle ABD.
geometrycircumcirclegeometry proposed