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

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


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

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

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.