Question
Draw a line segment $AB = 6\ cm$. Take a point $C$ on $AB$ such that $AC = 2.5\ cm$. Draw $CD$ perpendicular to $AB.$

Answer


Steps of constructions:
$1.$ Draw a line segment $AB$, which is equal to $6\ cm.$
$2.$ Take a point $C$ on $AB$ such that $AC$ is equal to $2.5cm.$
$3.$ With $C$ as the centre, draw an arc cutting $AB$ at $M$ and $N.$
$4.$ With $M$ as the centre and radius more than half of $MN$, draw an $arc.$
$5.$ With $N$ as the centre and the same radius as before, draw another arc cutting the perviously drawn arc at $S.$
$6.$ Draw $SC$ and produce it to $D.$

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