This question is similar to CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ]

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https://www.teachoo.com/14735/3608/Question-16/category/CBSE-Class-10-Sample-Paper-for-2022-Boards---Maths-Standard/

 

If △ABC∼△DEF,AB=6 cm,DE=9 cm,EF=6 cm and FD=12 cm, then the perimeter - CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard

part 2 - Question 14 - CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

 

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Question 14 If △ABC∼△DEF,AB=6" " cm,DE=9" " cm,EF=6" " cm and FD=12" " cm, then the perimeter of △ABC is (A) 28 cm (B) 28.5 cm (C) 18 cm (D) 23 cm Since ∆ ABC ~ ∆ DEF Sides will be proportional 𝐀𝐁/𝐃𝐄=𝑩𝑪/𝑬𝑭=𝑨𝑪/𝑫𝑭 Putting values 6/9=𝐵𝐶/6=𝐴𝐶/12 𝟐/𝟑=𝑩𝑪/𝟔=𝑨𝑪/𝟏𝟐 Now, Perimeter of Δ ABC = AB + BC + CD = 6 + 4 + 8 = 18 cm So, the correct answer is (c) 𝑩𝑪/𝟔=𝟐/𝟑 BC = 𝟐/𝟑 × 6 BC = 4 cm 𝟐/𝟑=𝑨𝑪/𝟏𝟐 AC = 𝟐/𝟑 × 12 AC = 8 cm

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