Ex 6.4, 9

Transcript

Ex 6.4, 9 Tick the correct answer and justify : Sides of two similar triangles are in the ratio 4 : 9. Areas of these triangles are in the ratio (A) 2 : 3 (B) 4 : 9 (C) 81 : 16 (D) 16 : 81 Given, Ratio of sides of similar triangles = 4/9 We know that if two triangle are similar , ratio of areas is equal to the ratio of squares of corresponding sides . So, (𝑎𝑟𝑒𝑎 𝑜𝑓 𝑡𝑟𝑖𝑎𝑛𝑔𝑙𝑒 1)/(𝑎𝑟𝑒𝑎 𝑜𝑓 𝑡𝑟𝑖𝑎𝑛𝑔𝑙𝑒 2)=(𝑠𝑖𝑑𝑒 𝑜𝑓 𝑡𝑟𝑖𝑎𝑛𝑔𝑙𝑒 1)^2/(𝑠𝑖𝑑𝑒 𝑜𝑓 𝑡𝑟𝑖𝑎𝑛𝑔𝑙𝑒 2)2 = (4/9)^2 = 16/81 Hence, option (D) is correct