Ex 6.2, 3 - Chapter 6 Class 10 Triangles

Last updated at April 16, 2024 by

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

Transcript

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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