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Question
Draw a line segment of length 7.5 cm and divide it in the ratio 1:3.
Solution
Steps of Construction:
- Draw a line segment AB of length 7.5 cm.
- Draw ray AX, making an acute angle with AB.
- Mark 4 (i.e., 1 + 3) points as A1, A2, A3, A4 on AX such that AA1 = A1A2 = A2A3 = A3A4.
- Join BA4.
- Through A1 (Since we need 1 part to 3 parts) draw CA1 parallel to BA4, where C lies on AB.
Now, AC:CB = 1:3
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