MathDB

Let

ABC

be an acute scalene triangle with incenter

I

. Show that the circumcircle of

BIC

intersects the Euler line of

ABC

in two distinct points.
(Recall that the Euler line of a scalene triangle is the line that passes through its circumcenter, centroid, orthocenter, and the nine-point center.)
Andrew Gu

1

Problems(1)