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Question
Draw a line segment of length 7 cm and divide it in the ratio 5 : 3.
Solution
Steps of Construction:
- Draw a line segment AB of length 7 cm.
- Draw ray AX, making an acute angle with AB.
- Mark 8 (i.e., 5 + 3) points as A1, A2, A3, ...... , A8 on AX such that AA1 = A1A2 = A2A3 = ......... = A6A7 = A7A8
- Join BA8
- Through A5 (since we need 5 parts to 8 parts) draw CA5 parallel to BA8, where C lies on AB.
Now, AC : CB = 5 : 3
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