问题
单项选择题
The outline of a sign for an ice-cream store is made by placing of the circumference of a circle with radius 2 feet on top of an isosceles triangle with height 5 feet, as shown above. What is the perimeter, in feet, of the sign ?()
A.A
B.B
C.C
D.D
E.E
答案
参考答案:B
解析:
该题的关键是求等腰三角形的腰长。如图中所示做辅助线,根据题意可知,等腰三角形的那一条边所对的圆的圆心角等于90°,所以等腰三角形的底边长为[*]。再运用勾股定理可求得等腰三角形的腰长的平方为52+[*]=27,所以腰长为[*]。由上分析可得该牌子的周长为:
[*]