Mathematics
Draw a line segment AB = 7.5 cm. Construct a perpendicular at point A using compass and ruler.
Constructions
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Answer
Steps of construction:
(i) Draw a line segment AB = 7.5 cm using a ruler.
(ii) With A as centre and a convenient radius, draw an arc cutting AB at a point P.
(iii) With P as centre and the same radius, draw an arc cutting the first arc at Q; with Q as centre, draw another arc cutting it at R.
(iv) With Q and R as centres and a radius more than half of QR, draw two arcs meeting at S.
(v) Join AS and produce it. Then AS is perpendicular to AB at A, i.e., ∠SAB = 90°.
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