#3812

/******************************************************************************

#3812                                 Inaltimi2
Se dau lungimile laturilor unui triunghi ABC. Calculati lungimile inaltimilor duse din A, B, C.

*******************************************************************************/

#include <iostream>
#include <cmath>

using namespace std;

int main()
{
    cout<<"PROBLEMA 3812 "<<endl;

    int a,b,c,a1,p;
    double AD,BD,CD;

    cout<<"l1= ";                                 //a1=aria triunghiului ABC
    cin>>a;                                       //p=semiperimetrul triunghiului ABC

    cout<<"l2= ";
    cin>>b;

    cout<<"l3= ";
    cin>>c;

    p=(a+b+c)/2;

    a1=sqrt(p*(p-a)*(p-b)*(p-c));  //formula lui HERON


    //a1=(AD*c)/2;
 //   a1=(BD*b)/2;
  // a1=(CD*a)/2;

    AD=(2*a1)/c;
    BD=(2*a1)/b;
    CD=(2*a1)/a;


    cout<<"Inaltimea AD = "<<AD<<" , BD = "<<BD<<" , iar CD = "<<CD<<endl;

    return 0;
}