Question

Draw a line segment of length 7.5 cm and divide it in the ratio 1:3.

Answer 1

Steps of Construction:

1. Draw a line segment AB of length 7.5 cm.
2. Draw ray AX, making an acute angle with AB.
3. Mark 4 (i.e., 1 + 3) points as A₁, A₂, A₃, A₄ on AX such that AA₁ = A₁A₂ = A₂A₃ = A₃A₄.
4. Join BA₄.
5. Through A₁ (Since we need 1 part to 3 parts) draw CA₁ parallel to BA₄, where C lies on AB.
   Now, AC:CB = 1:3