Question
Using rulers and compasses only, draw a right angle.

Answer


Steps of construction:
$1.$ Draw a line segment $AB$.
$2.$ Keeping $A$ as the center and any radius draw an arc which intersects $AB$ at $C$.
$3.$ Keeping $C$ as center and the same radius draw an arc which intersects the previous arc at $D$.
$4.$ Keeping $D$ as the center and same radius draw an arc which intersects arc in $(2)$ at $E$.
$5.$ Keeping $E$ and $D$ as center and radius more than half of $ED$ draw arcs which intersect each other at $F$.
$6.$ Join $FA$.
Therefore $\angle\text{FAB}=90^\circ$

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