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- #include<bits/stdc++.h>
- using namespace std;
- int main()
- {
- int test;
- cin>>test;
- for(int t=1;t<=test;t++)
- {
- double r1,r2,r3,a,b,c,s,A,B,C,area,result;
- cin>>r1>>r2>>r3;
- a=r1+r2;
- b=r2+r3;
- c=r3+r1;
- s=(a+b+c)/2;
- area=sqrt(s*(s-a)*(s-b)*(s-c));
- A=acos((a*a+c*c-b*b)/(2.0*a*c));
- B=acos((a*a+b*b-c*c)/(2.0*a*b));
- C=acos((b*b+c*c-a*a)/(2.0*b*c));
- result=area-A*r1*r1/2-B*r2*r2/2-C*r3*r3/2;
- cout<<"Case "<<t<<": "<<setprecision(9)<<fixed<<result<<endl;
- }
- }
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