Step1: Draw a line segment AB of length 7.6 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 13 (5:8 given ratio 5 + 8 = 13) such parts i.e. upto X13
Step4: Join points X13 and B
Now we have to divide the segment AB in ratio 5:8, i.e. 5 parts and 8 parts.
Step5: from point, X5 draw a line parallel to BX13 intersecting AB at D, and we have divided the segment AB in ratio 5:8
And measure the length of parts, i.e. AD and DB which are 2.9 cm and 4.7 cm respectively
