For drawing a perpendicular line from a point outside the line can we do it in the following fashion
Draw line L. Take a point P outside it. Draw an arc from P cutting line AB. Then approaching differently take a distance of more than half of AB and draw two arcs in the same side as P (my son did it this way in his test). This is different from your approach since it doesnt take the same radius as the arc from P cutting AB. Even here when you connect P to the connecting point of two arcs and extend it to the line, you get a perpendicular line from P to line L. Isnt this correct?