Q. 6

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

Draw of length 6.5 cm and divide it in the ratio 4 : 7. Measure the two parts.

Answer :

Steps of Construction:

1. Draw a line PQ of length 6.5cm

2.Draw a ray PX making an acute angle with PQ.

3. We have to divide line in ratio of 4:7. So we make 4+7 =11 equal arcs on ray PX.

4. Taking P as center, cut an arc on ray PX. Mark the point as P1.

5. Now, with the same radius cut an arc on PX with P1 as center.

6. Mark till P11.

7. Join P11 with Q.

8. As we have to divide in 4:7, we draw a line from P4 parallel to P11Q.

9. The point where it cuts PQ is A.

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