If AB = 4.5 cm and CD = 3 cm, construct a line segment whose length is equal to :
(1)2AB
(2) 3CD
(3) AB + 2CD
(4) AB-CD
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If AB = 7.5 cm and CD = 2.5 cm, construct a segment whose length is equal to 2AB + 3CD
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It is given that AB=7.5 cm and CD=2.5 cm
Draw AB and CD as shown in the above image.
Draw a line / and take point E on 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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