Q. 44.7( 18 Votes )

# Draw a line segment of length 7.6 cm and divide it in the ratio 5:8. Measure the two parts.

Answer :

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 X_{1}. Keeping the distance same in compass keep the needle on point X_{1} and mark an arc intersecting AC at X_{2}. Draw 13 (5:8 given ratio 5 + 8 = 13) such parts i.e. upto X_{13}

Step4: Join points X_{13} and B

Now we have to divide the segment AB in ratio 5:8, i.e. 5 parts and 8 parts.

Step5: from point, X_{5} draw a line parallel to BX_{13} 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

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