If ∆ ABC ~ ∆ EDF and ∆ ABC is not similar to ∆ DEF, then which of the following is not true?

(A) BC . EF = AC. FD  

(B) AB . EF = AC . DE

(C) BC . DE = AB . EF  

(D) BC . DE = AB . FD

 

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  1. Chapter 6 Class 10 Triangles (Term 1)
  2. Serial order wise

Transcript

Question 5 If ∆ ABC ~ ∆ EDF and ∆ ABC is not similar to ∆ DEF, then which of the following is not true? (A) BC . EF = AC. FD (B) AB . EF = AC . DE (C) BC . DE = AB . EF (D) BC . DE = AB . FD Since Thus, 𝑩𝑪/𝑫𝑭=𝑨𝑪/𝑬𝑭 BC × EF = AC × DF So, (a) is true Now, 𝑨𝑩/𝑬𝑫=𝑨𝑪/𝑬𝑭 AB × EF = AC × ED So, (b) is true Also, 𝑨𝑩/𝑬𝑫=𝑩𝑪/𝑫𝑭 AB × DF = BC × ED So, (d) is true Thus, only (c) is not true So, the correct answer is (C)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.