Check sibling questions

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


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 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