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 and , where is the shortest side. A possible value of is:
- 18
- 20
- 19
- 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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