Circumscribed quadrilateral
Geometry
Level
pending
Quadrilateral \(ABCD\) is circumscribed about a circle \(I\), that is tangent to \(AB, BC, CD, DA\) at \(E, F, G, H\) respectively. Suppose that \(AC\) and \(BD\) intersect at point \(P\) and \(EG\) and \(FH\) intersect at point \(Q\). If \(AB=5, BC=6, CD=8, DA=7\), what is the distance between \(P\) and \(Q\)?
by
Alexander Katz