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A triangle has one side of length 5 and another side of length 14. What are the
A triangle has one side of length 5 and another side of length 14. What are the
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2024-01-12
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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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