/* Progarmer: Joker Function: Find area of triangle in space using Heron's formula A = sqrt(s(s-a)(s-b)(s-c)) -> s = perimeter/2 a,b,c=sides of triangle */ #include #include #include //rand num #include //used for time offset #include //used for sqrt using namespace std; double len(double* x, double* y);//prototypes double atri(double* x,double* y,double* z); void print(double* x, string y); int main() { double v1[3];//3 points double v2[3]; double v3[3]; srand(time(NULL)); for(int i = 0; i<3; i++){//rand number generator v1[i] = rand()%100;// numbers 0 - 99 so we do not get crazy answers v2[i] = rand()%100; v3[i] = rand()%100; } double x = atri(v1,v2,v3);//returns area of triangle print(v1,"v1");//prints the point on the graph x,y,z print(v2, "v2"); print(v3, "v3"); cout << "Area of triangle: "<< x << "m^2"; return 0; } double atri(double* x, double* y, double* z){//retruns area of triangle using Heron's formula double s1=len(x,y); double s2=len(x,z); double s3=len(y,z); double s = (s1+s2+s3)/2; double a = sqrt(s*(s-s1)*(s-s2)*(s-s3)); return a; } double len(double* x, double* y){//finds the magnitude of vector xy double temp1,temp2,l; double temp[3]; for(int i = 0; i<3; i++){ temp1 = *(x+i); temp2 = *(y+i); temp[i] = temp2-temp1; } for(int i = 0; i < 3; i++){ temp1 = temp[i]; l += temp1*temp1; } l = sqrt(l); return l; } void print(double* x, string y){//just a printing func cout << y << ": ( "; for (int i =0; i<3; i++){ cout << *(x+i); if(i < 2) cout << ", "; } cout << " )\n"; }

Area of Triangle in 3D Space(x,y,z)