Divide a line segment of length 9 cm internally in the ratio 4 : 3.

Question

Philoid · Accepted Answer

We need to divide this line segment AB of length 9 cm internally in the ratio 4 : 3.

Step 1: Draw a line segment AC of arbitrary length and at an any angle to AB such that ∠CAB is acute.

Step 2: We plot (4 + 3 =) 7 points A₁, A₂, A₃, A₄, A₅, A₆, and A₇ such that AA₁ = A₁A₂ = A₂A₃ = A₃A₄ = A₄A₅ = A₅A₆ = A₆A₇

Step 3: We join points A₇ and B.

Step 4: We draw line segment A₄P such that A₄P || A₇B and P is the point of intersection of this line segment with AB.

Point P divides AB in the ratio 4 : 3