Using ruler and compasses only, draw a right angle.
To do:
We have to draw a right angle using a ruler and compasses only.
Solution:
Steps of construction:
(i) Draw a line segment $BC$.
(ii) With centre $B$ and a suitable radius, draw an arc meeting $BC$ at $E$.
(iii) With centre $E$ and same radius, cut off arcs $EF$ and $FG$.
(iv) Bisect arc $FG$ at $H.$
(v) Join $BH$ and produce it to $A$.
This implies,
$\angle ABC = 90^o$.
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