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Question 16 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ] - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 16, 2024 by Teachoo

∆ABC is such that AB = 3 cm, BC = 2cm, CA = 2.5 cm. If ∆ABC ~ ∆DEF and EF = 4 cm, then perimeter of ∆DEF is

(a) 7.5 cm   (b) 15 cm   (c) 22.5 cm   (d) 30 cm

Transcript

Question 16 ∆ABC is such that AB = 3 cm, BC = 2cm, CA = 2.5 cm. If ∆ABC ~ ∆DEF and EF = 4 cm, then perimeter of ∆DEF is (a) 7.5 cm (b) 15 cm (c) 22.5 cm (d) 30 cm Since ∆ ABC ~ ∆ DEF Sides will be proportional AB/DE=𝐵𝐶/𝐸𝐹=𝐴𝐶/𝐸𝐹 Putting values 3/DE=2/4=2.5/𝐸𝐹 3/DE=1/2=2.5/𝐸𝐹 𝟑/𝑫𝑬=𝟏/𝟐 DE = 2 × 3 DE = 6 cm 𝟏/𝟐=(𝟐.𝟓)/𝑬𝑭 EF = 2 × 2.5 EF = 5 cm Now, Perimeter of Δ DEF = DE + EF + DF = 6 + 5 + 4 = 15 cm So, the correct answer is (b)
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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo