Question
If $AB = 7.5\ cm$ and $CD = 2.5\ cm$, construct a segment whose length is equal to: $3CD$

Answer

Given: $AB= 7.5cm$ and $CD = 2.5cm$ Draw $AB$ and $CD$

Draw a line $l$ and take a point $E$ on it.
Now take a divider and open it such that the ends of both its arms are at $C$ and $D$.
Then, we lift the divider and place its end at $E$ on it and other end $(F)$ on the line $l$, as shown in the figure.
Again, we lift the divider end $(G)$ on the $l$ opposite to $C$.
Again, lift the divider end $(G)$ on the line $l$ opposite to $C$.
Again, lift the divider and place its one end at $G$ and another end $(H)$ on the line $l$, opposite to $E$.
$EH$ is required line segment, whose length is equal to $3CD.$
 

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