If the sum of the interior angles of a polygon is at least 120度 greater than that of its exterior angles, at least how many sides does the polygon have?
* This question is about inequality, please give steps, thanks
The answer is 5.
F.3 Maths inequality...
2007-11-23 10:17 pm
回答 (1)
2007-11-23 11:10 pm
✔ 最佳答案
Let y be the smallest number of the polygon.(y-2)x180度-120度>=360度 the sum of exterior angles of any polygon is 360
(y-2)x180-120>=360
180y-360-120>=360
180y>=840
y>=840/180
y>=4+2/3
so y>=5
i.e. The smallest number of the polygon is 5. the number of a polygon must be a integer(整數).
>=即係大過或等於 電腦programe都係咁寫
參考: 普通常識
收錄日期: 2021-04-13 14:33:34
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20071123000051KK01482