draw a line segment AB=6cm take a point C on AB such that AC= 2.5 cm draw CD perpendicular to AB ?

There is no question here just instructions to draw. If you need to do this on paper then use a pair of compasses. Draw AB as a 6 cm line. Set the pair of compasses to 2.5 cm and mark C on the line by using the pair of compasses (point at one end of the line and mark C with the pencil). Now use the compasses at 2.5 cm to generate the perpendiculat line by marking an arc either sideof the line AB. Go to the other end of the line and with the pair of compasses set at 3.5 cm draw another arc either sideof the line AB. These two arcs will intersect. Draw a line between the two points of intersection - this line should cross the AB line at 2.5 cm and will be perpendicular to the line AB

Huhkook

To draw a line segment AB measuring 6 cm and a point C on AB such that AC measures 2.5 cm, follow these steps:

1. Start by drawing a straight line using a ruler. Label the endpoints as A and B. The length of AB should measure exactly 6 cm.

2. Using the ruler, measure 2.5 cm from point A along the line in the direction of point B. This will give you point C.

To draw CD perpendicular to AB:

3. From point C, use a compass to draw an arc on both sides of point C, intersecting the line AB.

4. Without changing the compass width, place the compass tip on each of the intersections on both sides of AB.

5. Draw two arcs that intersect each other above and below line AB. Label these points of intersection as D and D'.

6. Connect point C with the point of intersection D on the lower arc and the point of intersection D' on the upper arc. The line CD should be perpendicular to line AB at point C.

Note that CD and AB are now perpendicular, and the length of AC is 2.5 cm.

And then what? How long should you make CD?

You have only described where to make it perpendicular to AB, and how long AB is.

We can't draw figures for you