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      Question

      The areas of two similar triangles XYZ and LMN are 400

      cm² and 100 cm² respectively. If side XY = 30 cm, find the corresponding side LM.
      A 12 cm Correct Answer Incorrect Answer
      B 15 cm Correct Answer Incorrect Answer
      C 14 cm Correct Answer Incorrect Answer
      D 17 cm Correct Answer Incorrect Answer

      Solution

      ATQ,

      Ratio of area of two similar triangles is equal to the square of their corresponding sides.

      So, XY : LM = √400 : √100

      Or, 30 : LM = 20 : 10

      Or, LM = (1/2) × 30 = 15 cm

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