(Q25) Draw a line segment of length 7.2 cm and divide it in the ratio 5 : 3. Measure the two parts.

Solution :

Steps of construction:

1. Draw a line segment AB of length cm.

2. Construct an acute angle ∠BAX at .

3. Mark off 5 + 3 = equal parts (A₁, A₂,....., A₈) on AX with same radius.

4. Join and .

5. Draw a line parallel to A₈B at A₅ meeting at .

6. Now the point C divides AB in the ratio 5:3.

7. Measure AC and BC. AC = cm and BC = cm.