All the distance measure classes are in org.apache.mahout.common.distance package.
They all implements the DistanceMeasure interface which also extends the Parametered interface.
There are two methods in the DistanceMeasure interface:
double distance(Vector v1, Vector v2)
double distance(double centroidLengthSquare, Vector centroid, Vector v)
You can create a new distance measure by implementing the DistanceMeasure interface đŸ™‚