Step 1: Draw a line segment AB of length 7 cm.
Step 2: Draw a ray AX such that AB makes an acute angle.
Step 3: Locate points A1, A2, A3, A4 and A5 such that
A1 A2 = A2 A3 = A3 A4 = A4 A5.
Step 4: Join A5 and B.
Step 5: Through A2, draw a line A2P || A5B intersecting AB at P.
The point P is the desired point which divides AB in the ratio
Steps of Construction:
1. Draw a line segment AB of length 8 cm.
2. Draw any ray AX, making an acute angle with AB.
3. Mark 5 (2 + 3) points A1, A2, .., A5 on AX such that
AA1 = A1A2 = .. = A4A5 by drawing equal arcs.
4. Join BA5.
5. Since we want the ratio 2:3, through A2, draw A2C parallel to A5B such that C lies on AB.
6. Thus AC : CB = 2 : 3.
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