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Draw a line segment of length 7 cm. Find a point P on it which divides it in the ratio 3:5. - Mathematics

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Question

Draw a line segment of length 7 cm. Find a point P on it which divides it in the ratio 3:5.

Diagram
Sum

Solution


Steps of construction:

  1. Draw a line segment, AB = 7 cm.
  2. Draw a ray, AX, making an acute angle downward with AB.
  3. Mark the points A1, A2, A... A8 on AX.
  4. Mark the points such that AA1 = A1A2 = A2A3 = ....., A7A8.
  5. Join BA8.
  6. Draw a line parallel to BA8 through the point A3, to meet AB on P.
    Hence, AP : PB = 3 : 5
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Chapter 10: Construction - Exercise 10.3 [Page 116]

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NCERT Exemplar Mathematics [English] Class 10
Chapter 10 Construction
Exercise 10.3 | Q 1 | Page 116

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