Question 26
In $\triangle ABC,$ $AB=10,$ $AC=8,$ and $BC=6.$ Circle $P$ is the circle with smallest radius which passes through $C$ and is tangent to $AB.$ Let $Q$ and $R$ be the points of intersection, distinct from $C,$ of circle $P$ with sides $AC$ and $BC,$ respectively. The length of segment $QR$ is
