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If βˆ†ABC~βˆ†PQR, then perimeter of the triangle PQR (in cm) is - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic part 2 - Question 10 - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic - Solutions of Sample Papers for Class 10 Boards - Class 10

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Question 10 If βˆ†ABC ~ βˆ†PQR, then perimeter of the triangle PQR (in cm) is (A) 12 (B) 24 (C) 18 (D) 20If two triangles are similar, Then their sides and perimeter are proportional So, we can write (π‘·π’†π’“π’Šπ’Žπ’†π’•π’†π’“ 𝒐𝒇 βˆ†π‘¨π‘©π‘ͺ)/(π‘·π’†π’“π’Šπ’Žπ’†π’•π’†π’“ 𝒐𝒇 βˆ†π‘·π‘Έπ‘Ή)=𝑨𝑩/𝑷𝑸=𝑨π‘ͺ/𝑷𝑹=𝑩π‘ͺ/𝑸𝑹 Since we know AC and PR (π‘ƒπ‘’π‘Ÿπ‘–π‘šπ‘’π‘‘π‘’π‘Ÿ π‘œπ‘“ βˆ†π΄π΅πΆ)/(π‘ƒπ‘’π‘Ÿπ‘–π‘šπ‘’π‘‘π‘’π‘Ÿ π‘œπ‘“ βˆ†π‘ƒπ‘„π‘…)=𝐴𝐢/𝑃𝑅 Putting values (πŸ‘ + πŸ’ + πŸ“)/(π‘·π’†π’“π’Šπ’Žπ’†π’•π’†π’“ 𝒐𝒇 βˆ†π‘·π‘Έπ‘Ή)=πŸ“/𝟏𝟎 𝟏𝟐/(π‘·π’†π’“π’Šπ’Žπ’†π’•π’†π’“ 𝒐𝒇 βˆ†π‘·π‘Έπ‘Ή)=𝟏/𝟐 12 Γ— 2 = Perimeter of βˆ† PQR 24 = Perimeter of βˆ† PQR Perimeter of βˆ† PQR = 24 cm So, 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 15 years. He provides courses for Maths, Science and Computer Science at Teachoo