The sides of two similar triangles are in the ratio 2:3, then the areas of these triangles are in the ratio ______________

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  1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards

Transcript

The sides of two similar triangles are in the ratio 2 : 3, then the areas of these triangles are in the ratio ______________ Given that Ratio of sides of similar triangles = 2/3 We know that If two triangle are similar , ratio of areas is equal to the ratio of squares of corresponding sides . Therefore, (𝐴𝑟𝑒𝑎 𝑜𝑓 𝑡𝑟𝑖𝑎𝑛𝑔𝑙𝑒 1)/(𝐴𝑟𝑒𝑎 𝑜𝑓 𝑡𝑟𝑖𝑎𝑛𝑔𝑙𝑒 2)=(𝑆𝑖𝑑𝑒 𝑜𝑓 𝑡𝑟𝑖𝑎𝑛𝑔𝑙𝑒 1)^2/(𝑆𝑖𝑑𝑒 𝑜𝑓 𝑡𝑟𝑖𝑎𝑛𝑔𝑙𝑒 2)2 = (2/3)^2 = 𝟒/𝟗 So, the required ratio is 4 : 9

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.