Hi!

I'm sorry for my bad english, but I'm italian... So...

Let ABC be a triangle. Let D be a point on AC and E be a point on AB so that BC=CD=BE.

Prove that the line through D and E is perpendicular to the line through I and O,

where I and O are the incenter and circumcenter of the triangle.

If you don't understand something please ask me.

Thank you.

Bye