Question

draw a line segment of length 8cm and divide it in the ratio 4:5
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Answer 1

Steps of construction:

1. Draw a line segment AB = 8 cm.
2. Draw a ray AX making an acute angle ∠BAX=60° with AB.
3. Draw a ray BY parallel to AX by making an acute angle ∠ABY=∠BAX.
4. mark four points A1,A2,A3,A4 on AX and and five points B1,B2,BE,B4,B5 on BY in such a way that AA1= A1,A2= A2,A3 =A3,A4.
5. Join A4 and B5.
6. Let the line intersect AB at point P.

Thus p is the point dividing the line segment AB internally in the ratio 4:5.

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