Question

Draw a line segment of length 10 cm. Using ruler and compass divide this segment in the ratio 3 : 2. Measure the length of these segments.

Answer 1

Steps of construction:

1. Draw any line segment say AB = 10 cm

2. At A, draw a ray AY making an acute angle YAB.

3. Using compass mark five points on AY such that

AP = PQ = QR = RS = ST.

4. Join TB.

5. Through point R draw a line parallel to TB i.e RL which divides AB in the ratio 3 : 2.

On measuring AB we find that AL = 6 cm and LB = 4 cm.