Applies to 2020.2 Update and later
Various methods to insert new triangles along open triangle edges, to make a mesh watertight
The semi-automatic methods for closing holes help you avoid the need to manually add triangles.
Trivial holes are holes enclosed by exactly three triangles, so the missing triangle can simply be added. Non-trivial holes are enclosed by more than three triangles, so the circumference needs to be traversed and triangles be added to close it.
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These methods ignore any selection of triangles.
To close simple holes anywhere on a part
To close holes with a particular range of edge lengths anywhere on a part
To close all holes no matter the shape, size, or location on a part

Left: Only one triangle is missing in each hole. They can be repaired with Close Trivial Holes. Right: All attempts to repair all holes regardless of complexity.
Holes have a dedicated context menu, too. Right-click the yellow highlighting line of a hole to open it.
To close a hole of choice on a part
Close Hole.
Closing a hole by adding triangles without considering the surrounding triangles' orientation is fast but does not preserve or regenerate the original shape, which becomes more apparent the more curved the area of the mesh is. For such cases, a method is available that attempts to recreate the original curved surface by sampling the surrounding triangle's orientation.
Select all surrounding triangles from the context menu.
Options

The hole in the torus to the left has been fixed on the right.