Question

Draw a line segment PQ of length 5.8 cm and divide it in the ratio 5 : 3. Measure each part.

Answer 1

Steps of Construction :

Step 1 . Draw a line segment PQ = 5.8 cm.
Step 2. Draw a ray PX, making an acute angle $\angle QPX$ .
Step 3. Along PX, mark (5+3) =8 points A₁, A_2, A_3, A_4, A₅, A₆, A₇ and A_{8 ,} such that
PA₁ = A₁A₂ = A₂A₃ = A₃A₄ = A₄A₅ = A₅A₆ = A₆A₇ = A₇A₈
Step 4. Join A₈Q.
Step 5. From A_5, draw A₅C ∥ A₈Q, meeting PQ at C.
Thus, C is the point on PQ, which divides it in the ratio 5:3.



Thus, PC : CQ = 5:3
From the figure, PC = 3.6 cm
CQ = 2.2 cm