tut1.2

#include <iostream>
#include <cmath>

using namespace std;

int main()
{
    double a,b,c;
    cout << "Unesi tri broja ";
    cin >> a >> b >> c;

    if(a+b>c && a+c>b && c+b>a)
    {
    double maxi=0;
    double s = (a+b+c)/2;
    double P = sqrt(s*(s-a)*(s-b)*(s-c));

    //c2=a2+b2–2ab cosy

    double alfa = acos((pow(a,2)+pow(b,2)-pow(c,2))/(2*a*b));
    double beta = acos((pow(a,2)+pow(c,2)-pow(b,2))/(2*a*c));
    double gama = acos((pow(c,2)+pow(b,2)-pow(a,2))/(2*c*b));
    if (alfa > beta && alfa > gama)
    maxi = alfa;
    else if(beta >= alfa && beta >= gama)
    maxi = beta;
    else if (gama >= beta && gama >= alfa)
    maxi = gama;
    double PI = 4 * atan(1);
    double step = 180 * maxi / PI;
    double stepen = int(step);
    double minuts = (step - stepen) * 60;
    double minute = int (minuts);
    double sekunde = (minuts - minute) * 60;
    double sekund = int (sekunde);

    cout << "Povrsina =" << P << "njegov najveci ugao iznosi " << " " << stepen << " " <<minute <<  " " << sekund;

    }

    else cout << "ne postoji ugao sa stranicama"<< a << " " << b << " " << c ;

    return 0;
}