5

Part of 2015 JBMO Shortlist

Problems(1)

2015 JBMO Shortlist G5

Source: 2015 JBMO Shortlist G5

ABC

be an acute triangle with

{AB\neq AC}

{BC}

of the triangle touches the sides

{BC, CA}

{AB}

{D, E}

{F}

, respectively. The perpendicular line erected at

{C}

{BC}

{EF}

{M}

, and similarly the perpendicular line erected at

{B}

{\omega}

{EF}

{N}

{DM}

{\omega}

{P}

{DN}

{\omega}

{Q}

{DP=DQ}

.
Ruben Dario & Leo Giugiuc (Romania)

geometryJBMOsimilar trianglesincircle