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Ex 5.1, 4 - If a point C lies between two points A & B - Axioms

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Ex 5.1, 4 If a point C lies between two points A and B such that AC = BC, then prove that AC = 1/2 AB . Explain by drawing the figure. We have a point C lying between two points A and B such that AC = BC. AC = BC Adding AC on both sides, AC + AC = AC + BC 2AC = AC + BC But AC + BC = AB as AC + CB coincides with AB ⇒ 2AC = AB AC = 1/2 AB Hence proved

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.