Ex 6.2, 3 - In figure, if LM || CB and LN || CD, prove - Theorem 6.1

Ex 6.2, 3 - Chapter 6 Class 10 Triangles - Part 2

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Ex 6.2,3 In figure, if LM || CB and LN || CD, prove that 𝐴𝑀/𝐴𝐵 = 𝐴𝑁/𝐴𝐷 Given: LM II CB And LN II CD To prove: 𝐴𝑀/𝐴𝐵 = 𝐴𝑁/𝐴𝐷 Proof: From (1) & (2) 𝐴𝑀/𝑀𝐵 = 𝐴𝑁/𝑁𝐷 𝑀𝐵/𝐴𝑀 = 𝑁𝐷/𝐴𝑁 Adding 1 on both sides 𝑀𝐵/𝐴𝑀 + 1 = 𝑁𝐷/𝐴𝑁 + 1 (𝑀𝐵 + 𝐴𝑀)/𝐴𝑀 =(𝑁𝐷 + 𝐴𝑁)/𝐴𝑁 𝐴𝐵/𝐴𝑀 =𝐴𝐷/𝐴𝑁 𝐴𝑀/𝐴𝐵=𝐴𝑁/𝐴𝐷 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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo