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Question
The sides of a triangle have lengths (in cm) 10, 6.5 and a, where a is a whole number. The minimum value that a can take is ______.
Options
6
5
3
4
Solution
The sides of a triangle have lengths (in cm) 10, 6.5 and a, where a is a whole number. The minimum value that a can take is 4.
Explanation:
As we know, the sum of any two sides in a triangle is always greater than the third side. So, only 4 is the minimum value that satisfies as a side in a triangle.
`{{:(10 < 6.5 + 4),(6.5 < 10 + 4),(4 < 10 + 6.5):}}`
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