Q10 of 47 Page 1

Draw a line segment of length 7 cm and divide it internally in the ratio 2: 3.

Construction Steps:

Step 1: Draw a line segment AB of length 7 cm.


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Step 2: Draw a ray AX such that AB makes an acute angle.


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Step 3: Locate points A1, A2, A3, A4 and A5 such that A1 A2 = A2 A3 = A3 A4 = A4 A5.


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Step 4: Join A5 and B.


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Step 5: Through A2, draw a line A2P || A5B intersecting AB at P.


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Ans. The point P is the desired point which divides AB in the ratio 2: 3.


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