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The lengths of two sides of a triangle are 12 inches and 4 inches. Which of the following dimensions is the third side of this triangle?

User Searles
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1 Answer

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The triangle inequality requires the third side be in the range
.. 12 -4 ≤ third side ≤ 12 +4
.. 8 ≤ third side ≤ 16 . . . . . . . . . your answer is the number(s) in this range

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Some define the triangle inequality using < rather than ≤. Be careful here.
User Matt Maclennan
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