Question

Draw a line segment of length 8 cm and divide it internally in the ratio 4 : 5.

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 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.