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Question

Divide a line segment of length 8 cm internally in the ratio 3:4.

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Solution

STEPS OF CONSTRUCTION:

1.Draw line segment of length AB=8cm.

2. Draw any Ray AX making acute BAX with AB

3. Draw a parallel to BY parallel to AX by makingABY=BAX.

4. Make 3 points A1,A2,A3on AX & 4 points B1,B2,B3,B4 on BY such that

AA1=A1A2=A2A3=BB1=B1B2=B2B3=B3B4

5. Join A3B4. Then it intersect AB at a point P.

Thus P is the point of dividing AB internally in the ratio 3:4.


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