Question 35
We are given a non-isosceles triangle $ABC$ with incenter $I$. Show that the circumcircle $k$ of $AIB$ is not tangent to the lines $CA$ or $CB$.
The second common point of $k$ with $CA$ is named $P$ and the second with $CB$ is named $Q$. Prove that the points $A, B, P$ and $Q$ are (not necessarily in this order) vertices of a trapezoid.
G. Baron, Vienna
The second common point of $k$ with $CA$ is named $P$ and the second with $CB$ is named $Q$. Prove that the points $A, B, P$ and $Q$ are (not necessarily in this order) vertices of a trapezoid.
G. Baron, Vienna