We will study
- How to divide a line segment in a given ratio
- Construct a triangle similar to given triangle
- Construct tangent to a circle
Construction 1 : To divide a line segment in a given ratio
Let’s divide a line AB in ration 2:3
- Draw any ray AX, making an acute angle with AB.
- Locate 5 points A1 to A5 on AX at equal intervals.
- Join BA5.
- Through the point A2 , draw a line parallel to BA5 intersecting AB at point C
- Then, AC : CB = 2 : 3.