HMMT 二月 2000 · 几何 · 第 6 题
HMMT February 2000 — Geometry — Problem 6
题目详情
- What is the area of the largest ir le on tained in an equilateral triangle of area 8 3? 2 2 y x
解析
- The area of an equilateral triangle with side length s is s . Therefore, the side length 4 p p h is 4 2 and heigh t h = 2 6. No w, if r is the radius of the ins rib ed ir le, then r = , 3 8 2 sin e w e ha v e an equilateral triangle. Th us the area is r = . 3 2 y 0 0