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The lengths of the sides of a triangle are \(x, 21\) and \(40\), where \(x\) is the shortest side. A possible value of \(x\) is:

Question and options

The lengths of the sides of a triangle are x,21x, 21 and 4040, where xx is the shortest side. A possible value of xx is:
  1. 18
  2. 20
  3. 19
  4. 16

Answer and explanation

Correct answer: B - 20
Triangle inequality: x+21>40 so x>19; x shortest so x<21. Only x=20 works (19 gives degenerate 19+21=40).

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  • IPMAT Indore

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