Question
Draw a line segment CD. Produce it to CE such that CE = 3CD.
✓
Answer
We draw a line l and take two points C and D on it.
Take a divider and open it such that its end of both arms is at C and D.
Then, we lift the divider and place its one end at D and other end on the line l opposite to C as shown in the figure.
Let this point be A.
Lift the divider again and place its one end at A and other end on the line 1 opposite to C.
Name this point as E.
Here CD = DE = AE
Therefore, CE = CD + DE + AE
= CD + CD + CD (As, CD ± DE = AE)
or, CE = 3CD
Take a divider and open it such that its end of both arms is at C and D.
Then, we lift the divider and place its one end at D and other end on the line l opposite to C as shown in the figure.
Let this point be A.
Lift the divider again and place its one end at A and other end on the line 1 opposite to C.
Name this point as E.
Here CD = DE = AE
Therefore, CE = CD + DE + AE
= CD + CD + CD (As, CD ± DE = AE)
or, CE = 3CD
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