(i) Firstly, we draw a line segment AB = 4.5 units and extend it to C such that BC = 1 unit. Let O be the mid-point of AC.
Now, draw a semi-circle with centre O and radius OA. Let us draw BD perpendicular to AC Hence, the distance BD is √4.5 units
Draw an arc with centre B and radius BD, meeting AC produced at E, then
BE=BD=√4.5 units
(ii) Firstly, we draw a line segment AB = 5.6 units and extend it to C such that BC = 1 unit. Let O be the mid-point of AC.
Now, draw a semicircle with centre O and radius OA. Let us draw BD perpendicular to AC. Hence , the distance BD is √5.6 units.
Draw an arc with centre B and radius BD, meeting AC produced at E, then BE =BD = √5.6 units.
(iii) Firstly, we draw a line segment AB = 8.1 units and extend it to C such that BC = 1 unit, let O be the midpoint of AC.
Now, draw a semicircle with centre O and radius OA.
Let us draw BD perpendicular to AC passing through the point B intersecting the semi-circle at point D.
Hence, the distance BD is √8.1 units.
Draw an arc with centre B and radius BD, meeting AC produced at E, then
BE=BD=√8.1 units
(iv) Firstly, we draw a line segment AB = 2.3 units and extend it to C such that BC = unit. Let O be the mid-point of AC.
Now, draw a semi-circle with centre O and radius OA.
Let us draw BD perpendicular to AC passing through point B and intersecting the semi-circle at point D.
Hence the distance BD is √2.3 units
Draw an arc with centre B and radius BD, meeting AC produced at E, then E=BD=√2.3 units.