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Draw a line segment of length 7 cm and divide it in the ratio 5 : 3.

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Steps of construction:

1. Draw a line segment AB = 7 cm

2. Make a half line AX by taking ∠BAX as an acute angle.

3. Mark points X1, X2, X3,......,X8 on half line AX such that AX1 = X1X2 = X2X3 = ... = X7X8.

4. Join BX8 and determine the angle ∠AX8B.

5. Make a line X5C such that ∠AX5C = ∠AX8B which intersect line segment AB at Point C.

6. C is required point which divides given line segment AB in the ratio 5 : 3.

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