Question

Construct a line segment of 6 cm. Divide this line segment in the ratio 3:2. [2 MARKS]

Answer 1

Concept : 1 Mark
Construction : 1 Mark

Here, the ratio $\frac{AC}{CB}$ = 3:2.

Therefore, the number of arcs to be cut is 3+2 = 5.

Here, C divides AB in the ratio 3:2.

Steps of construction:

1. Draw a line segment $AB$ if length 6 cm. Draw a ray from $A$ in any direction.

2. On that ray, mark 5 arcs of same length.Name them as $A_1$ to $A_5$.

3. Join $A_5$ and $B$.

4. Draw a line parallel to $A_{5}B$ passing through $A_3$ such that it cuts line segment at C.

5. Now, the line segment $AB$ is divided by $C$ in the ratio $3:2$.