Question

6. Construct a line segment AB - 2CD, where CD = 24 cm​

Answer 1

Answer:

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).