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

Answer

Given: $AB= 7.5\ cm$ and $CD = 2.5\ cm$ Draw $AB$ and $CD$
We 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 $A$ and $B$. The, we lift the divider end $(F)$ on the line $l$, as shown in the figure. Now, reset the divider in such a way that the end of its one hand is at $C$ and the end of the other hand is at $D$. Then, we lift the divider and place its one end at $F$ and another end $(G)$ on the line l opposite to $E$ as shown in the figure. $EG$ is required line segment, whose length is equal to $(AB + CD)$

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