Halle S.
asked • 10/08/20A store manager wants to place a display shelf 4ft from the cashier. Can the other two distances shown be 4ft and 6ft? Identify the answer with the correct explanation.
| Choice 1 | Yes; The sum of any two lengths is equal to the third length. | Choice 2 | Yes; The sum of any two lengths is greater than the third length. | Choice 3 | No; The sum of any two lengths is not greater than the third length. | Choice 4 | No; The sum of any two lengths is greater than the third length. |
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1 Expert Answer
The first triangle inequality theorem says that the sum of any 2 sides has to be more than the 3rd side. No matter how we add any of the 2 sides, 4 + 4 or 4 + 6, or 4 + 6 again, the sum is more than 6, 4, and 4, respectively.
Your answer is Choice 2.
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Robert S.
10/08/20