Question

Draw a line segment AB of length 10 cm. Mark a point P on AB such that AP = 4 cm. Draw a line through P perpendicular to AB.

Answer 1

We draw line l and take a point A on it.
Using a ruler and a compass, we mark a point B, 10 cm from A, on the line l.
AB is the required line segment of 10 cm.
Again, we mark a point P, which is 4 cm from A, in the direction of B.
With P as centre, take a radius of 4 cm and construct an arc intersecting the line l at two points A and E.
With A and E as centres, take a radius of 6 cm and construct two arcs intersecting each other at R.
We join PR and extend it.
PR is the required line, which is perpendicular to AB.