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, 〖 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
Since we want the ratio 2 : 3,
Through point 𝐴_2 (m = 2), we draw a line parallel to 𝐴_5 𝐵
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
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.
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