Solution :
The length of the line segment is given as = 8 centimetre
This 8 cm line segment is divided into two parts in the ratio of 4 : 3.
Therefore we can calculate the measure of the two segments of the line.
The ration is given as 4 : 3
The sum of the ratio = 7
Therefore the length of the first part is :
[tex]$=\frac{4}{7} \times 8$[/tex]
= 4.571 cm
Similarly, the length of the second part is :
[tex]$=\frac{3}{7} \times 8$[/tex]
= 3.428 cm
Therefore the line of 8 cm is divided into 4.571 cm and 3.428 cm in the ratio of 4 : 3.