Question
If AB = 7.5cm and CD = 2.5cm, construct a segment whose length is equal to:
2AB + 3CD
2AB + 3CD
✓
Answer
Given: AB= 7.5cm and CD = 2.5cm Draw AB and CD
Draw a line/ and take point Eon it. Now, 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 1, as shown in the figure. Again, lift the divider and place its one end at F and another end (G) on the line 1, opposite to E. Now, reset the divider in such a way that the ends of its one hand are at C and the end of other hand is at D. Then, we lift the divider and place its one end at G and another end (say H) on the line 1, opposite to E as shown in the figure. Again, lift the divider and place its one end at H and other end (say I) on the line 1, opposite to E as shown in the figure. Again, lift the divider and place its one end at I and another end (say J) on the line 1, opposite to E as shown in the figure. EG is required line segment, whose length is equal to (2AB + 3CD).
Draw a line/ and take point Eon it. Now, 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 1, as shown in the figure. Again, lift the divider and place its one end at F and another end (G) on the line 1, opposite to E. Now, reset the divider in such a way that the ends of its one hand are at C and the end of other hand is at D. Then, we lift the divider and place its one end at G and another end (say H) on the line 1, opposite to E as shown in the figure. Again, lift the divider and place its one end at H and other end (say I) on the line 1, opposite to E as shown in the figure. Again, lift the divider and place its one end at I and another end (say J) on the line 1, opposite to E as shown in the figure. EG is required line segment, whose length is equal to (2AB + 3CD).
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