RS Aggarwal Class 10 Solutions Constructions

Steps of construction:

Step 1 : Draw a line segment AB = 6.5 cm

Step 2: Draw a ray AX making ∠ BAX.

Step 3: Along AX mark (4+7) = 11 points

A₁, A₂, A₃, A₄, A₅, A₆, A₇, A₈, A₉, A₁₀, A₁₁, such that

AA₁ = A₁A₂

Step 4: Join A₁₁ and B.

Step 5: Through A₄ draw a line parallel to A₁₁ B meeting AB at C.

Therefore, C is the point on AB, which divides AB in the ratio 4 : 7

On measuring,

AC = 2.4 cm

CB = 4.1 cm