draw a line sgement of length 9cm and divide it the ratio of 2:3. also measure the two parts.

Given that: segment AB such that cm

Construction: Divide segment AB into two line segments by a point R in the ratio

1. Here we have to divide segment AB into 2+3= 5 congruent parts.
2.  Draw segment AB such that cm through A and B draw rays AC and BD such that
3. On ray AC mark point  such that.
4.  Similarly mark point  on ray BD such that
5. Join segmentsthen R divides segment AB in the ratio 2:3

Now the point R divides the line segment AB of length 9 cm in the ratio 2:3

So, number of parts = 2+3 =5

Length of AR =

Length of BR =

So, the length of AR and BR are 3.6 cm and 5.4 cm respectively.