Mathematics
Draw a line segment AB = 5.5 cm. Mark a point P, such that PA = 6 cm and PB = 4.8 cm. From the point P, draw a perpendicular to AB.
Quadrilaterals Constructions
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Answer
Steps:
Make a line AB = 5.5 cm.
With A as center and radius = 6 cm, draw an arc.
With B as center and radius = 4.8 cm, draw an arc which cut the previous arc at P.
Join AP and BP.
With P as center, draw an arc of a suitable radius which cuts AB at points C and D.
With C and D as centers, draw arcs of equal radii and let these arcs intersect each other at point E.
(The radius of these arcs must be more than half of CD and both the arcs must be drawn on the other side.)
Join P and E.
Let PE cut AB at point O.
Clearly, ∠AOP = ∠BOP = 90°
Hence, OP is the required perpendicular.
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