A triangle has one side of length 5 and another side of length 14. What are the

游客2025-02-23 41

问题 A triangle has one side of length 5 and another side of length 14. What are the greatest and least possible integer values for the length of remaining side?

选项 A、19.9
B、18.9
C、18.10
D、14.5
E、16.8

答案 C

解析设三角形的第三条边长度为x，那么根据三角形的两边之和大于第三边，x＜14+5=19。根据三角形的两边之差小于第三边，x＞14-5=9，所以9＜x＜19，那么x的最大整数值为18，最小整数值为10，所以选择C。

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