#include<iostream>
#include <cmath>
using namespace std;
  double const pi=3.1415925;

int main()
{double hc, yg,yga,ygb,a,b,ca,cb,P,D;
 cout<<"Imate prawoygylen triygylnk zadaden s hc dylvina na wisochinata kym\n";
 cout<<"hipotenuzata i a edin ot ostrite mu ygli. Ygylyt se wywevda w gradusi.\n";
 cout<<"Da se izchislqt: diametyr na opisanata okryvnost i perimetyr na triygylnika.\n";
cout<<"Primer: 10 45 Izhod D=20, P=48.2843 \n";
 cout<<"Wywedete dylvina na wisochinata [9..99]: "; cin>>hc;
 cout<<"Wywedete ostyr ygyl w gradusi [10..80]; ";cin>>yg;
  yga=yg*pi/180;//preobrazuwame gradusi w radiani za sin i cos 
  ygb=0.5*pi-yga;  // 0.5*pi=90 gradusa  
  a=hc / sin (yga); // sin (yga)=hc/a - sinus sreshulevasha strana kym hipotenuza
  cout<<"Dylvinata na katet a: "<<a<<endl;
  ca=a * cos (yga); // cos (yga) = ca/a - cosinus prilevasha strana kym hipotenuza
  b=hc / sin (ygb);
  cout<<"Dylvinata na katet b: "<<b<<endl;
  cb=b * cos (ygb);
  D=ca+cb;
  cout<<"Diametyr na opisanata okryvnost: "<<D<<endl;
   P=a+b+D;
  cout<<"Perimetyr na triygylnika: "<<P<<endl;
 system("pause");
 return 0; 
} //kraj na programa sin i cos 

#include <iostream>
#include <cmath>
using namespace std;
double const pi=3.141592;

double ygyl  (double C,double B, double ha)
{ double a,b,c,P;
 //formirani sa 2 prawoygylni triygylnika s wywedeni ostyr ygyl i katet
  c= ha / sin (B);// strana a
  b= ha / sin (C); //strana b
  cout<<c<<":"<<b<<endl;
  a= c *  cos (C) + b * cos (B) ;
  P= a+b+c;
  return P;
}//  ygyl  i wisochnina sin cos 

int main()
{double C,B,ha,yg,P;
 cout<<"Imame triygylnk s wywedeni: wisochina ha kym strana a i ygli\n";
 cout<<"A, B prilevashi kym strana a. Tyrsim perimetyr P na triygylnika. \n";
 cout<<"Primer: C=30; B=30; h=10 Izhod: P=74.641 \n";
  cout<<"Wywedete ygyl C: ";cin>>yg;
  C=pi*yg/180; // sin i cos - ygyl w radiani
  cout<<"Wywedete ygyl B: ";cin>>B;
  B=pi*yg/180; // ygyl w radiani
  cout<<"Wywedete wisochina ha: ";cin>>ha;
  P = ygyl (C, B, ha);
  cout<<"Perimetyr na triygylnika: "<<P<<endl;
system("pause");
return 0;
}//kraj na programa sin i cos 

 #include<iostream>
 #include <cmath>
 using namespace std;
 double const pi=3.1415925;
   
 double radiani (double gradus )
 { double rad = pi * gradus /180;
 return rad;
 }// gradus w radian
 
 int main() 
 { double ygA,ygB,ygC,ha,hb,hc,ygyl, R, Sabc;
  cout<<"Imame wpisan triygylnik w okryvnost s radius R. Wywedeni sa\n";
  cout<<"sysho i dwa ot yglite w triygylnika. Tyrsim wisochinite.\n";
  cout<<"Primer: ygA = 45, ygB=45 R=10 Izhod: ha=14.1421; hb=14.1421 hc=10\n";
  cout<<"Wywedete ygyl A: ";cin>>ygyl;
  ygA=radiani (ygyl);
  cout<<"Wywedete ygyl B: ";cin>>ygyl;
  ygB=radiani (ygyl);
  ygC=pi-(ygA+ygB);// sumata na ygli w triygylnik e 180 gradusa
  cout<<"Wywedete radius na opisanata okryvnost: ";cin>>R;
  
   Sabc = 2*R*R*sin (ygA)* sin (ygB) * sin (ygC);
   cout<<" lice na wpisan triygylnik: "<<Sabc<<endl;
  
   ha = sqrt (2* Sabc * sin (ygB) * sin (ygC)/ sin (ygA));
   cout<<" wisochina kym strana a: "<<ha<<endl;
   hb = sqrt (2* Sabc * sin (ygA) * sin (ygC)/ sin (ygB));
   cout<<" wisochina kym strana b: "<<hb<<endl;
   hc = sqrt (2* Sabc * sin (ygA) * sin (ygB)/ sin (ygC));
   cout<<" wisochina kym strana c: "<<hc<<endl;  
   
 system("pause");
 return 0; 
 } //kraj na programa wisochina