text: Binomial Theorem
  
  Question
  
  # The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61cm, find the minimum length of the shortest side.
  
  Solution
  
  Let the shortest side of the triangle be of length x cm
  The length of the longest side = 3x cm
  The length of the third side = (3x - 2) cm
  It is given that the perimeter is at least 61 cm
  Perimeter
  Hence, the minimum length of the shortest side = 9 cm.
explanation: The document contains a math problem related to the properties of a triangle and its perimeter. It includes both the question and the solution, where the solution involves setting up and solving an inequality to find the minimum length of the shortest side of the triangle.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: Binomial Theorem
  
  Question
  
  # The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61cm, find the minimum length of the shortest side.
  
  Solution
  
  Let the shortest side of the triangle be of length x cm
  The length of the longest side = 3x cm
  The length of the third side = (3x - 2) cm
  It is given that the perimeter is at least 61 cm
  Perimeter
  Hence, the minimum length of the shortest side = 9 cm.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math problem related to the properties of a triangle and its perimeter. It includes both the question and the solution, where the solution involves setting up and solving an inequality to find the minimum length of the shortest side of the triangle.
  
  Label: question-and-answer