Question

Draw a line segment of length 7 cm and divide it in the ratio 5 : 3.

Answer 1

Steps of Construction:

1. Draw a line segment AB of length 7 cm.
2. Draw ray AX, making an acute angle with AB.
3. Mark 8 (i.e., 5 + 3) points as A₁, A₂, A₃, ...... , A₈ on AX such that AA₁ = A₁A₂ = A₂A₃ = ......... = A₆A₇ = A₇A₈
4. Join BA₈
5. Through A₅ (since we need 5 parts to 8 parts) draw CA₅ parallel to BA₈, where C lies on AB.
   Now, AC : CB = 5 : 3