Excircles & angle bisectors
Source: German TST 2004, Exam V, Problem 1
May 1, 2004
geometryparallelogramtrigonometryangle bisectorgeometry proposed
Problem Statement
The -excircle of a triangle touches the side at the point and the extended side at the point . The -excircle touches the lines and at the points and , respectively. The lines and meet at the point .
Show that the line bisects the angle .