Question

Draw a line segment AB of length 6.5 cm and divide it in the ratio 4 : 7. Measure each of the two parts.

Answer 1

Steps of Construction :

Step 1 . Draw a line segment AB = 6.5 cm.
Step 2. Draw a ray AX, making an acute angle $\angle BAX$.
Step 3. Along AX, mark (4+7) =11 points A₁, A_2, A_3, A_4, A₅, A₆, A₇, A₈, A₉, A₁₀, A_11, such that
AA₁ = A₁A₂ = A₂A₃ = A₃A₄ = A₄A₅ = A₅A₆ = A₆A₇ = A₇A₈ = A₈A₉ = A₉A₁₀ = A₁₀A₁₁
Step 4. Join A₁₁B.
Step 5. From A_4, draw A₄C $\parallel$A₁₁B, meeting AB at C.
Thus, C is the point on AB, which divides it in the ratio 4:7.



Thus, AC : CB = 4:7
From the figure, AC = 2.36 cm
CB = 4.14 cm