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Draw a line segment of length 7 cm. Find a point P on it which divides it in the ratio 3:5.

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Steps of construction:

1. Draw a line segment, AB = 7 cm.

2. Draw a ray, AX, making an acute angle down ward with AB.

3. Mark the points A1, A2, A… A8 on AX.

4. Mark the points such that AA1 = A1A2 = A2A3 = ….., A7A8.

5. Join BA8.

6. Draw a line parallel to BA8 through the point A3, to meet AB on P.

Hence AP: PB = 3: 5

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