Question

Draw a line segment of length 7 cm and divide it in the ratio 2 : 3.

Answer 1

Steps of construction:

1. Draw a line segment AB = 7 cm.
2. Draw any ray AX making an acute angle downward with AB.
3. Mark the points A₁, A₂, A₃, ...... A₅ on AX such that AA₁ = A₁A₂ = A₂A₃ = A₃A₄ = A₄A₅.
4. Join BA₅.
5. Through the point A₂, draw a line parallel to BA₅, to meet AB on P.
6. Hence, AP : PB = 2 : 3.