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Question
Draw a line segment of length 8 cm and divide it internally in the ratio 4 : 5
Solution
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 five points B1,B2,B3,B4,B5 on BY in such a way that AA1=A1A2=A2A3=A3A4.
5) Join A4B5
6) Let this line intersect AB at a point P.
Thus, P is the point dividing the line segment AB internally in the ratio of 4 : 5.
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