Ex 14.3, 2 Given some line segment (π΄π΅) Μ whose length you do not know, construct (ππ ) Μ such that the length of (ππ) Μ twice that of (π΄π΅) Μ .
We are given line segment (π΄π΅) Μ
We need to draw
(ππ) Μ twice as that of (π΄π΅) Μ
i.e. (ππ) Μ = 2 Γ (π΄π΅) Μ
Letβs follow these steps
1. Draw a line l
mark point P on it
2. Measure (π΄π΅) Μ using compass
3. Now keeping compass opened the same length.
We keep pointed end at point P,
and draw an arc on line l
So, (ππ) Μ = (π΄π΅) Μ
4. Now keeping compass opened the same length.
We keep pointed end at point X,
and draw an arc on line l
So, (ππ) Μ = (π΄π΅) Μ
And (ππ) Μ = 2 Γ (π΄π΅) Μ
Thus, (ππ) Μ is twice that of (π΄π΅) Μ
4. Now keeping compass opened the same length.
We keep pointed end at point X,
and draw an arc on line l
So, (ππ) Μ = (π΄π΅) Μ
And (ππ) Μ = 2 Γ (π΄π΅) Μ
Thus, (ππ) Μ is twice that of (π΄π΅) Μ

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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