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?

Answer

Rathna67 (student) on 12/11/10

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?
 

Hi!
The method you have mentioned in the query will also give a perpendicular line through the given point (outside the line).
But, it is better to do the method that is described as in NCERT (meritnation) as they are commonly used.

Cheers!

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