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

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Steps of Construction:

Step 1: Draw a line segment AB = 6.5cm.

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

Step 3: Jong AX, mark (4 + 7) = 11 points A1,A2,A3,A4,A5,A6,A7,A8,A9,A10,A11 such that

Step 4: Join A11B.

Step 5: From A4, draw A4C || A11B, meeting AB at C.

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

Thus, AC CB : 4 : 7

From the figure,

AC = 2.36cm

CB = 4.14cm

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