MathDB

4

Part of 2001 Greece Junior Math Olympiad

Problems(1)

equal segments in a triangle, angle chasing (Greece Junior 2001)

Source:

7/12/2019
Let ABCABC be a triangle with altitude ADAD , angle bisectors AEAE and BZBZ that intersecting at point II. From point II let ITIT be a perpendicular on ACAC. Also let line (e)(e) be perpendicular on ACAC at point AA. Extension of ETET intersects line (e)(e) at point KK. Prove that AK=ADAK=AD.
geometryequal segmentsAngle Chasing