Q2 of 805 Page 13

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


Steps of Construction:


1. Draw a line segment AB of length 7.6 cm.



2. Draw any ray AX, making an acute angle with AB.



3. Mark 13 (= 5 + 8) points, A1, A2, A3, A4 …. A11, A12, A13 on AX such that AA1 = A1A2 …. By drawing equal arcs.



4. Join BA13.



5. Since we want the ratio 5:8, through point A5, draw a line parallel to BA13.



6. Thus, AC:CB = 5:8


7. On measuring AC and BC by scale, we get AC = 2.9 cm and BC = 4.7 cm.



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