Question

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

Answer 1

Steps of construction:

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

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

3. Mark the points A₁, A₂, A₃ … 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