AMC 8 1992 Problem 17

AMC8 1992 年第 17 题

三角形★★★☆☆
The sides of a triangle have lengths 6.5 , 10 , and ss , where ss is a whole number. What is the smallest possible value of ss ?
一个三角形的边长分别为 6.5、10 和 ss,其中 ss 是一个整数。ss 的最小可能值是多少?
AMC 8 1992 Problem 17 figure
  1. A.3
  2. B.4
  3. C.5
  4. D.6
  5. E.7

正确答案 · Correct Answer

B

解析 · Solution

Solution 1

By Triangle Inequality, 6.5 + s >10 and therefore s>3.5. The smallest whole number that satisfies this is (B)4\text{(B)4}.

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