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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