se dau 3 valori reali a.b.c. Cu folosirea procedurii sa se afiseze inaltimile triunghilui definit de acelea 3 laturi

#include <iostream>

#include <cmath>

using namespace std;

int main () {
double a, b, c;
cin >> a >> b >> c;
double p = (a + b + c) / 2;
double aria = sqrt(p*(p - a)*(p - b)*(p - c));
double hA = 1, hB = 1, hC = 1;
/* ai atasata o poza unde am demonstrat rationamentul de mai jos */
hA = (2*aria ) / a;
hB = (2*aria ) / b;
hC = (2*aria ) / c;
cout << hA << " " << hB << " " << hC << endl;
return 0;
}