Mathematics

Draw a line segment $\overline{PQ}$ of length 5.6 cm. Draw a perpendicular to it from a point A outside $\overline{PQ}$ by using ruler and compass.

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Draw a line segment $\overline{PQ}$ of length 5.6 cm.
Mark a point A outside the line segment $\overline{PQ}$ .
With A as centre and any suitable radius, draw an arc to cut $\overline{PQ}$ or the line containing $\overline{PQ}$ at points C and D.
With C and D as centres, draw two arcs of equal radius $\left(\gt\dfrac{1}{2}\text{CD}\right)$ cutting each other at Q' on the other side of $\overline{PQ}$ .
Join A and Q'. Let AQ' intersect $\overline{PQ}$ at N.

Hence, AN is the required perpendicular from point A to the line segment $\overline{PQ}$ .

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