Constructions

• Division of a line segment in a given ratiovertical-align: middle;

Example:

Draw and divide it in the ratio 2:5. Justify your construction.

Solution:

 

 

Steps of construction

Draw  = 9 cm

Draw a ray , making an acute angle with PQ.

Mark 7 (= 2 + 5) points A₁, A₂, A₃ … A₇ along PX such that 

PA₁ = A₁A₂ = A₂ …