Question 144
Let $ABC$ a non-isosceles triangle in $A$ and $I$ the center of his circle inscribed. we note $D$ The point of the line $(BC)$ such as $\widehat{DIA} = 90^{\circ}$. we note $E$ the foot of the height from $I$ In the triangle $ADI$. Show that the point $E$ is on the circumscribed circle of the triangle $ABC$.