MathDB

24

Part of 2002 Iran MO (3rd Round)

Problems(1)

Prove they are on aline [about mixtilinear incircles]

Source: Iran 2002 3rd round

4/9/2004
A,B,CA,B,C are on circle C\mathcal C. II is incenter of ABCABC , DD is midpoint of arc BACBAC. WW is a circle that is tangent to ABAB and ACAC and tangent to C\mathcal C at PP. (WW is in C\mathcal C) Prove that PP and II and DD are on a line.
geometryincentercircumcirclegeometric transformationhomothetyratiotrapezoid