AMC8 1992
AMC8 1992 · Q17
AMC8 1992 · Q17. It mainly tests Triangles (properties).
The sides of a triangle have lengths 6, 5, 10, and s, where s is a whole number. What is the smallest possible value of s?
一个三角形的边长为6、5、10和s，其中s是整数。s的最小可能值为多少？
(A)
3
3
(B)
4
4
(C)
5
5
(D)
6
6
(E)
7
7
Answer
Correct choice: (B)
正确答案：（B）
Solution
Answer (B): For any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. Thus 6.5 + s must be greater than 10. The smallest such whole number for s is 4.
答案 (B)：任意三角形，两边之和大于第三边。因此6.5 + s > 10。s的最小整数为4。
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