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

#include "09-Exercice3-Triangle.h"
#include "09-Exercice3-Sommet.h"

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