Draw an 8 cm long line and divide it in the ratio 2 : 3.
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Steps for construction: Draw a line segment AB = 8 cm and draw any acute angle ∠BAC with a line segment AB. Mark (2 + 3 =) 5 points A1, A2, A3, A4, and A5 such that AA1 = A1A2 = A2A3 = A3A4 = A4A5. Join points A5 to B.
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Answer:
2x+3x=8
5x=8
x=8/5
2x=2×8/5
= 3.2
3x=2×8/5
=4.8
The line will be divided into 3.2 cm and 4.8 cm.
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