MathDB

3

Part of 2010 Regional Olympiad of Mexico Northeast

Problems(1)

IX=IY for I incenter if <BAC=60^o

Source: X - Mathematics Regional Olympiad of Mexico Northeast 2010 P3

9/17/2022
In triangle ABCABC, ∠BAC=60o\angle BAC= 60^o. Angle bisector of ∠ABC\angle ABC meets side ACAC at XX and angle bisector of ∠BCA\angle BCA meets side ABAB at YY. Prove that if II is the incenter of triangle ABCABC, then IX=IYIX=IY.
geometryincenter