#include <stdio.h>
#include <math.h>

typedef struct {
  double x;
  double y;
  double z;
} sommet;

typedef struct {
  sommet s1;
  sommet s2;
  sommet s3;
} triangle;

double calculerDistance(sommet s1, sommet s2) {
  return sqrt(pow(s2.x - s1.x, 2.0) +
              pow(s2.y - s1.y, 2.0) +
              pow(s2.z - s1.z, 2.0));
}

double calculerPerimetre(triangle t) {
  return calculerDistance(t.s1, t.s2) +
    calculerDistance(t.s2, t.s3) +
    calculerDistance(t.s3, t.s1);
}

double calculerAire(triangle t) {
  double s = calculerPerimetre(t) / 2.0;
  double a = calculerDistance(t.s1, t.s2);
  double b = calculerDistance(t.s2, t.s3);
  double c = calculerDistance(t.s3, t.s1);
  return sqrt(s*(s-a)*(s-b)*(s-c));
}

void afficherSommet(sommet s) {
  printf("(");
  printf("%.3lf",s.x);
  printf(",");
  printf("%.3lf", s.y);
  printf(",");
  printf("%.3lf", s.z);
  printf(")");
}

void afficherTriangle(triangle t) {
  printf("(");
  afficherSommet(t.s1);
  printf(",");
  afficherSommet(t.s2);
  printf(",");
  afficherSommet(t.s3);
  printf(")");
}

int main(void) {
  triangle t = { { -2.2,-0.3,6.4 },
                 {  3.1,-2.3,4.1 },
                 {  3.6, 2.7,0.4 } };
  //triangle t = { {  4.0, 0.0,1.4 },
  //               {  0.0, 0.0,1.4 },
  //               {  0.0, 3.0,1.4 } };
  afficherTriangle(t);
  printf("\n");
  printf("Perimetre = %lf\n", calculerPerimetre(t));
  printf("Aire      = %lf\n", calculerAire(t));
  printf("\n");
  return 0;
}