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HMMT 十一月 2008 · GEN1 赛 · 第 5 题

HMMT November 2008 — GEN1 Round — Problem 5

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [ 5 ] Joe has a triangle with area 3. What’s the smallest perimeter it could have? n
解析
  1. [ 5 ] Joe has a triangle with area 3. What’s the smallest perimeter it could have? Answer: 6 The minimum occurs for an equilateral triangle. The area of an equilateral triangle √ √ √ √ 3 4 2 √ with side-length s is s , so if the area is 3 then s = 3 = 2. Multiplying by 3 to get the 4 3 perimeter yields the answer. n