Divide a 7cm long line in the ratio 4:5
Answers
The maximum number of points=4+5=9
In this process, once line AX is drawn, it is divided into 9 equal parts.
The points are marked from point A towards X. The last point is then joined to point B to form line XB and passing through the points that were marked on AX. These lines can be drawn using set squares to ensure they are parallel.
These parallel lines divide line AB into 9 equal parts. So, to divide the line in the ratio 4:5, the first 4 portions will be taken and last 5 left as shown.
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Given:
7cm long line, ratio 4:5
Find:
Divide a 7cm long line in the ratio 4:5
Lets Solve,
To divide a line segment AB in the ratio 4:5, first a ray AX is drawn making angle BAX an acute angle and then points A1, A2, A3
at equal distances are marked on the ray AX.20
- Draw a line segment AB=7 cm.
- Draw a ray AX making an acute angle at A with AB.
- Draw another ray BY parallel to AX making an acute angle.
- Taking A as centre draw an arc cutting at A1 on the line.
- Similar to step 4, ...
- Join A4B5.
- Line A4B5 intersect AB at a point P.
Lets see the Attachment as shown: