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 $2.5\ cm$.
$3.$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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