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Join Line
The shortest path is a line perpendicular to the given line that passes through the given point.
Normally a straight line segment.
Length is the distance - in given units - between two points on a line.
One way is to draw a straight line from the constructed line to the given line. If the lines are parallel, than the acute angle at the given and constructed line will be the same as will be the obtuse angles at the given and constructed line.