draw a line segment of length 4 cm by scale and compass obtain a line segment of length 3 centimetre
Answers
Given : a line segment of length 4 cm
To Find : obtain a line segment of length 3 centimeter
Solution:
Step 1 : Draw a line segment AB = 4 cm using ruler
Step 2 : Draw an acute angle CAB using compass
Step 3 : Take 4 points at equal Distance at AC from A using suitable compass width
Step 4 : Join 4th point with B
Step 5 : Draw a line parallel to line drawn in previous step passing through 3rd point and intersecting AB at D
AD = 3 cm
Another method :
Step 1 : Draw a line segment AB = 4 cm using ruler
Step 2 : Using suitable compass width Draw arcs on both sides of AB taking A as center
Step 3 : Keeping compass width same and taking B as center draw arcs such that it it intersects arc drawn earlier at X & Y
Step 4 : Join XY intersecting AB at M
Step 5 : Using suitable compass width Draw arcs on both sides of MB taking M as center
Step 6 : Keeping compass width same and taking B as center draw arcs such that it it intersects arc drawn earlier at P & Q
Step 7 : Join PQ intersecting MB at D
AD = 3 cm
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