diff --git a/Convex_hull_3/include/CGAL/Convex_hull_3/dual/halfspace_intersection_3.h b/Convex_hull_3/include/CGAL/Convex_hull_3/dual/halfspace_intersection_3.h
index 49b9af652065..14a91364f262 100644
--- a/Convex_hull_3/include/CGAL/Convex_hull_3/dual/halfspace_intersection_3.h
+++ b/Convex_hull_3/include/CGAL/Convex_hull_3/dual/halfspace_intersection_3.h
@@ -259,7 +259,7 @@ namespace CGAL
         // if a point inside is not provided find one using linear programming
         if (!origin) {
           // choose exact integral type
-          typedef typename internal::Exact_field_selector<void*>::Type ET;
+          typedef typename internal::Exact_ring_selector<typename K::RT>::Type ET;
 
           // find a point inside the intersection
           typedef Interior_polyhedron_3<K, ET> Interior_polyhedron;
diff --git a/Convex_hull_3/include/CGAL/Convex_hull_3/dual/halfspace_intersection_with_constructions_3.h b/Convex_hull_3/include/CGAL/Convex_hull_3/dual/halfspace_intersection_with_constructions_3.h
index 51ab1b6094c6..1c87cb764889 100644
--- a/Convex_hull_3/include/CGAL/Convex_hull_3/dual/halfspace_intersection_with_constructions_3.h
+++ b/Convex_hull_3/include/CGAL/Convex_hull_3/dual/halfspace_intersection_with_constructions_3.h
@@ -126,7 +126,7 @@ namespace CGAL
               p_origin = boost::get(origin);
             } else {
               // choose exact integral type
-              typedef typename internal::Exact_field_selector<void*>::Type ET;
+              typedef typename internal::Exact_ring_selector<typename K::RT>::Type ET;
 
               // find a point inside the intersection
               typedef Interior_polyhedron_3<K, ET> Interior_polyhedron;