Draw a line segment of length 8 cm and divide it in the ratio 2:3

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Note : This is similar to Ex 11.1, 1 of NCERT – Chapter 11 Class 10

Check the answer here https://www.teachoo.com/5743/542/Ex-11.1--1---Draw-a-line-segment-of-length-7.6-cm-and-divide-in-ratio/category/Ex-11.1/

  1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards

Transcript

Question 28 (OR 2nd question) Draw a line segment of length 8 cm and divide it in the ratio 2:3 Steps of construction: Draw line segment AB of length 8 cm Draw any ray AX, making an acute angle with AB. Mark 5 (= 2 + 3) points 𝐴_1, γ€– 𝐴〗_2, 𝐴_3, 𝐴_4, 𝐴_5 on AX such that 〖𝐴𝐴〗_1=𝐴_1 𝐴_2=𝐴_2 𝐴_3……. by drawing equal arcs Join 〖𝐡𝐴〗_5. Since we want the ratio 2 : 3, Through point 𝐴_2 (m = 2), we draw a line parallel to 𝐴_5 𝐡 by making ∠ AA5B = ∠ AA2C So, we copy ∠ AA5B from point A5 Thus, AC : CB = 2 : 3. On measuring AC and BC by scale. AC = 3.2 cm & BC = 4.8 cm

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.