Question

draw a line segment cD further draw a line perpendicular to CD​

Answer 1

Answer:

Draw a line l and take two points C and D on it. Take a divider and open it such that the ends of both of its arms are at C and D. Now, lift the divide and place one end at D and the other end opposite to C at A without changing its length i.e distance between sharp points of the divider. Repeat this step again to get the point E. This is the required construction.

Step-by-step explanation:

In this question, we need to draw a line segment CD. We then need to produce it to CE such that CE = 3CD.

We draw a line l and take two points C and D on it.

We will now take a divider and open it such that the ends of both of its arms are at C and D. Then, we will lift the divider and place its one end at D and the other end on the line l on the side opposite to point C without changing its length.

Let this point be A.

Now, we will lift the divider again and place its one end at A and the other end on the line l on the side opposite to point C without changing its length.

Name this point as E.

The figure below shows the final construction

Here we have the following:

CD = DE = AE (because we did not change the length on the divider) …(1)

CE = CD + DE + AE

Substituting equation (1) in this, we will have the following:

CE = CD + CD + CD

CE = 3CD