This question is similar to CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ]
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CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard
CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard
Last updated at Aug. 20, 2025 by Teachoo
This question is similar to CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ]
Please check the question here
Transcript
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