Question

A line segment AB. Divide it in the ratio m:n by construction, where both mand n positive integers and let m= 4 and n=3.​

Answer 1

The steps for dividing a line segment into a given ratio are:

1. Draw any ray AX, making an acute angle with AB.

2. Locate 5(=m+n) points

   A1,A2,A3,A4 and A5 and AX so that AA1=A1A2=A2A3=A3A4=A4A5

3. Join BA5

4. Through the point A3(m=3). Draw a line parallel to A5B (by making an angle equal to ∠AA5B) at A3 intersecting AB at the point C. Then, AC:CB=3:2

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