Q :Draw a line segment of length 7 cm. Find a point P on it which divides it in the ratio .
Solution
Given: AB = 7cm
The required ratio is
Let m = 3, n = 5
Steps of constructio
1. Draw a line segment AB = 7cm.
2. Draw a ray AX making acute angle with AB
3. Locate 8 points on AX on equidistant. (because )
4. Join
5. Through the point draw a line parallel to which intersect line AB at P..
Here triangle AA3P is similar to triangle
(by construction)
Therefore