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Ex 6.4, 9 - Sides of two similar triangles are in ratio 4:9 - Area of similar triangles

  1. Chapter 6 Class 10 Triangles
  2. Serial order wise
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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, (๐‘Ž๐‘Ÿ๐‘’๐‘Ž ๐‘œ๐‘“ ๐‘ก๐‘Ÿ๐‘–๐‘Ž๐‘›๐‘”๐‘™๐‘’ 1)/(๐‘Ž๐‘Ÿ๐‘’๐‘Ž ๐‘œ๐‘“ ๐‘ก๐‘Ÿ๐‘–๐‘Ž๐‘›๐‘”๐‘™๐‘’ 2)=(๐‘ ๐‘–๐‘‘๐‘’ ๐‘œ๐‘“ ๐‘ก๐‘Ÿ๐‘–๐‘Ž๐‘›๐‘”๐‘™๐‘’ 1)^2/(๐‘ ๐‘–๐‘‘๐‘’ ๐‘œ๐‘“ ๐‘ก๐‘Ÿ๐‘–๐‘Ž๐‘›๐‘”๐‘™๐‘’ 2)2 = (4/9)^2 = 16/81 Hence, option (D) is correct

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