Given:
Consider a point d divides line segment ab of length 10 centimetre internally in the ratio 2:3.
To find:
The length of ad.
Solution:
If a point d divides line segment ab internally in the ratio 2:3, then the length of ad and db are 2x and 3x receptively.
We know that,
[tex]ab=ad+db[/tex]
Length of the segment ab is 10 cm.
[tex]10=2x+3x[/tex]
[tex]10=5x[/tex]
Divide both sides by 5.
[tex]2=x[/tex]
Now,
[tex]ad=2x[/tex]
[tex]ad=2(2)[/tex]
[tex]ad=4[/tex]
Therefore, the length of segment ad is 4 centimetres.
