Q2 of 805 Page 13

Draw a line segment AB of length 6.5 cm and divide it in the ratio 4 : 7. Measure each of the two parts.


Steps of Construction:


1. Draw a line segment AB = 6.5 cm.



2. Draw a ray AX, making an acute angle ∠ BAX.



3. Along AX, mark (4 + 7) = 11 points A1, A2, …, A11 such that AA1 = A1A2 = … = A10A11.



4. Join A11B.



5. From A4, draw A4C parallel A11B meeting AB at C.



Thus, C is the point on AB, which divides it in the ratio 4:7.


From the figure,


AC = 2.36 cm and CB = 4.14 cm.


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