divide it
Uring ruler and compass only, construct
a line segment AB = 8 cm and divide it internally in the ratio 4:5.
Answers
Answer:
Steps of construction:
1. Draw a line segment AB=8 cm.
2. Draw a ray AX making an acute angle at A with AB.
3. Draw another ray BY parallel to AX making an acute angle. Make sure angle must be same as considered in step 2.
4. Taking A as centre draw an arc cutting at A
1
on the line.
Taking same radius consider A
1
as a centre and draw another arc cutting line at A
2
.
Repeat the same procedure and divide the line AX into 4 points A1,A2,A3,A4.
In such a way, AA1=A1A2=A2A3=A3A4
5. Similar to step 4,
Taking B as centre draw an arc cutting at B1 on the line.
Taking same radius (set in step 4) consider B1 as a centre and draw another arc cutting arc cutting line at B2.
Repeat the same procedure and divide the line BY into 5 points in such a way that BB1=B1B2=B2B3=B3B4=B4B5
6. Join A4B5
7. Line A4B5 intersect AB at a point P.
Therefore, P is the point dividing the line segment AB internally in the ratio of 4:5.
Step-by-step explanation:
hope it helps you
