warnerjordan72 warnerjordan72

26-03-2022
Mathematics

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A triangle has two sides of length 6 and 12. What is the smallest possible whole-number length for the third side?

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Medunno13 Medunno13

28-03-2022

Answer: 7

To maximize the length of the third side, which I'll call x, it needs to be one of the two shorter sides.

So by the triangle inequality theorem, 6+x>12 meaning the minimum whole number value of x is 7.

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