Q2 of 12 Page 240

Construct the following with the help of straight-edge and compass only:

Divide a line-segment into three parts in the ratio 2 : 3 : 4 in the same order.

Steps of Construction:
1. Draw a line AB of any length.



2.Draw a ray AX making an acute angle with AB.



3. We have to divide line in ratio of 2:3:4. So we make 2+3+4 =9 equal arcs on ray AX.


4. Taking A as center, cut an arc on ray AX. Mark the point as A1.


5. Now, with the same radius cut an arc on AX with A1 as center.


6. Mark till A9.



7. Join A9 with B.



8. As we have to divide in 2:3:4, we draw a line from A2 and A5 parallel to A9B.



9. The point where it cuts AB is P and Q


Here, AP : PQ : QB = 2 : 3 : 5


More from this chapter

All 12 →
1

Construct the following with the help of straight-edge and compass only:

Draw of length 7.4 cm and divide it in the ratio 5 : 7.

 3

Construct the following with the help of straight-edge and compass only:

Construct a triangle with sides 4 cm, 5 cm, 7 cm and then construct a triangle similar to it whose sides have lengths in the ratio 2 : 3 to the lengths of the corresponding sides of the first triangle.

 4

Construct the following with the help of straight-edge and compass only:

Draw ΔPQR with m∠P = 60, m∠Q = 45 and PQ = 6 cm. Then construct ΔPBC whose sides have lengths times the lengths of the corresponding sides of ΔPQR.

 5

Construct the following with the help of straight-edge and compass only:

Draw ΔABC having mABC = 90, BC = 4 cm and AC = 5 cm. Then construct ΔBXY, where scale factor is .