KIDx’s Triangle
Time Limit:2000/1000MS (Java/Others)Memory Limit:128000/64000KB (Java/Others)
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Problem Description
One day, KIDx solved a math problem for middle students in seconds! And than he created this problem.
Now, give you the degree of a, b, c, d, please calculate the degree of ∠AED.
Input
There are multiple test cases.
Each case contains one line 4 integers formatted as:"a b c d"
0 ≤ a, b, c, d < 90°.
0 < a+b < 90°, 0 < c+d < 90°.
Output
For each test case, output the answer in one line, rounded to2 decimal places.
Sample Input
10 70 60 2010 70 70 0
Sample Output
20.00140.00
参考代码：
#include<stdio.h>#include<math.h>#define pi acos(-1.0)int main(){double a,b,c,d;double e;double AD,BD,BE,DE,AE;while(~scanf("%lf%lf%lf%lf",&a,&b,&c,&d)){a=a*1.0*pi/180;b=b*1.0*pi/180;c=c*1.0*pi/180;d=d*1.0*pi/180;if(a==0||c==0){printf("0.00\n");continue;}AD=sin(c)/sin(a+b+c);BD=sin(c+d)/sin(a+b+c+d)-sin(c)/sin(a+b+c);BE=sin(a+b)/sin(a+b+c+d)-sin(b)/sin(b+c+d);DE=sqrt((BE*BE+BD*BD+2.0*BE*BD*cos(a+b+c+d)));AE=sin(c+d)/sin(b+c+d);e=acos(((1.0*DE*DE+AE*AE-AD*AD)/(2.0*DE*AE)))/pi*180;if(e<0)printf("%.2f\n",180-e);elseprintf("%.2f\n",e);}return 0;}
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