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

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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