Question

Draw a line segment AB = 6.5 cm. Locate a point P that is 5 cm from A and 4.6 cm from B. Through the point P, draw a perpendicular on to the line segment AB.

Answer 1

Steps of Construction:

(i) Draw a line segment AB =6.5cm

(ii) With centre A and radius 5 cm, draw an arc and with centre B and radius 4.6 cm, draw another arc which intersects the first arc at P. Then P is the required point.

(iii) With centre A and a suitable radius, draw an arc which intersect AB at E and F.

(iv) With centres, E and F and radius greater than half of EF, draw the arcs which intersect each other at Q.

(v) Join PQ which intersect AB at D. Then PD is perpendicular to AB.