Divide a line segment 4.2 cm long internally in the ratio 5:3 Also, write the steps of construction.

Step1: Draw a line segment AB of length 4.2 cm

Step2: Draw a line AC at any angle below AB

Step3: take any distance in compass and keep the needle of the compass on point A and draw an arc intersecting the line AC. Name the intersection point as X₁. Keeping the distance same in compass keep the needle on point X₁ and mark an arc intersecting AC at X₂. Draw 8 (5:3 given ratio 5 + 3 = 8) such parts i.e. upto X₈

Thus we have made 8 equal parts on line AC

Step4: Join points X₈ and B

Now we have to divide the segment AB in ratio 5:3, i.e. 5 parts and 3 parts.

Step5: from point, X₅ draw a line parallel to BX₈ intersecting AB at D, and we have divided the segment AB in ratio 5:3