Question
If $AB = 7.5\ cm$ and $CD = 2.5\ cm$, construct a segment whose length is equal to: $2AB$

Answer

Given: $AB= 7.5\ cm$ and $CD = 2.5\ cm$ Draw $AB$ and $CD$
Draw a line l and take a point $E$ on it. Now a take a divider and open it such that the ends of both its arms are at $A$ and $B$. Then, we lift the divider and place its one end at $E$ and other end (say $F$) on the line l as shown in the figure. Again, lift the divider and place its one end $F$ and other end on the line $l$, opposite to $E$. Let this point be $G. EG$ is required line segment, whose length is equal to $2AB.$

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