UVA 375-Inscribed Circles and Isosceles Triangles#

UVA 375-Inscribed Circles and Isosceles Triangles

题目大意：输入等腰三角形的底和高，画出内切圆，然后画切于新的小三角形的内切圆直到内切圆半径小于0.000001时求出周长和

解题思路：勾股定理求腰然后切割三角形的面积和等于大三角形面积求出半径，相似三角形求下一个半径

#include <stdio.h>
#include <iostream>
#include <math.h>
using namespace std;
int main() {
double pai = atan(1.0) * 4;
int n;
cin >> n;
while(n--) {
double b, h;
cin >> b;
cin >> h;
double y = sqrt((b * b * 0.25) + h * h);
double r = b * h / (y + y + b);
double sum = 0.0;
double p = (h - 2.0 * r) / h;
for(;r > 0.000001;) {
sum = sum + r;
r = r * p;
}
sum = 2.0 * pai * sum;
printf("%13.6lf\n", sum);
if(n) {
printf("\n");
}
}
return 0;
}