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HMMT 十一月 2008 · GEN1 赛 · 第 5 题

HMMT November 2008 — GEN1 Round — Problem 5

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. [ 5 ] Joe has a triangle with area 3. What’s the smallest perimeter it could have? n
解析

英文解析

  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 theperimeter yields the answer.34 n