#include <iostream>
    #include <cmath>

    using namespace std;

    int main()
    {
        float x;
        float y;
        float z;

        cout <<"Adjon meg egy oldalt: ";
        cin >> x;
        cout << "\n";
        cout <<"Adjon meg egy masik oldalt: ";
        cin >> y;
        cout << "\n";
        cout <<"Adjon meg egy ujabb oldalt: ";
        cin >> z;
        cout << "\n";

        /*cout << x;
        cout <<" ";
        cout << y;
        cout <<" ";
        cout << z;
        cout <<"\n";*/

        float a;
        float b;
        float c;

        if(x > y) {a = y; b = x;} else {a = x; b = y;}
        if(z > b) {b = b; c = z;} else {c = b; b = z;}

        /*cout << a;
        cout <<" ";
        cout << b;
        cout <<" ";
        cout << c;
        cout <<"\n";*/

        if( a+b >= c)
        {
            if(c*c == a*a + b*b)
            {
                cout << "\nEzekbol az oldalakbol derekszogu haromszog lesz.\n";
                float ter = (a*b)/2;
                float ma = (a+b+c)/2;
                float beir = 2*ter/(a+b+c);
                float koreir = (a*b*c)/(4*ter);
                cout << "\nA derekszogu haromszog terulete: "<< ter <<"cm^2";
                cout << "\nA derekszogu haromszog magassaga: "<< ma <<"cm";
                cout << "\nA derekszogu haromszog beirhato korenek sugara: "<< beir <<"cm";
                cout << "\nA derekszogu haromszog koreirhato korenek sugara: "<< koreir <<"cm\n\n";
            } else {
                cout << "Ezekbol az oldalakbol lesz haromszog de nem derekszogu.\n\n";
            }

        } else {
            cout <<"\nEzekbol az oldalakbol nem lesz haromszog.\n\n";
        }


    }


//andras szabolcs